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115-455: EQA may refer to: Ecuador , ITU country code Equivalent average (EqA), a baseball metric European Quality Award External quality assessment Mercedes-Benz EQA , an electric sport utility vehicle Topics referred to by the same term [REDACTED] This disambiguation page lists articles associated with the title EQA . If an internal link led you here, you may wish to change

230-473: A 2008 referendum , a new constitution implemented leftist reforms. In December 2008, Correa declared Ecuador's national debt illegitimate, based on the argument that it was odious debt contracted by prior corrupt and despotic regimes. He announced that the country would default on over $ 3 billion worth of bonds, and he succeeded in reducing the price of outstanding bonds by more than 60% by fighting creditors in international courts . He brought Ecuador into

345-435: A quadratic function across pairs of intervals or building an appropriately smooth approximation to the underlying distribution function that matches the known data. If the population mean and boundary values for each interval are also known, these can also often be used to improve the accuracy of the approximation. The Gini coefficient calculated from a sample is a statistic, and its standard error, or confidence intervals for

460-507: A Plan to return to the constitutional system through universal elections. This plan enabled the new democratically elected president to assume the duties of the executive office. Elections were held on 29 April 1979, under a new constitution. Jaime Roldós Aguilera was elected president, garnering over one million votes, the most in Ecuadorian history. He took office on 10 August as the first constitutionally elected president, after nearly

575-678: A brief war erupted between Colombia and Peru, over Peru's claims to the Caquetá region, which ended with Peru reluctantly signing the Salomon-Lozano Treaty on 24 March 1922. Ecuador protested this secret treaty, since Colombia gave away Ecuadorian claimed land to Peru that Ecuador had given to Colombia in 1916. On 21 July 1924, the Ponce-Castro Oyanguren Protocol was signed between Ecuador and Peru where both agreed to hold direct negotiations and to resolve

690-488: A country's wealth or income distribution deviates from an equal distribution. The Gini coefficient is usually defined mathematically based on the Lorenz curve , which plots the proportion of the total income of the population (y-axis) that is cumulatively earned by the bottom x of the population (see diagram). The line at 45 degrees thus represents perfect equality of incomes. The Gini coefficient can then be thought of as

805-502: A country. The Gini coefficient on disposable income—sometimes referred to as the after-tax Gini coefficient—is calculated on income after taxes and transfers. It measures inequality in income after considering the effect of taxes and social spending already in place in a country. For OECD countries over the 2008–2009 period, the Gini coefficient (pre-taxes and transfers) for a total population ranged between 0.34 and 0.53, with South Korea

920-538: A decade of civilian and military dictatorships. In 1980, he founded the Partido Pueblo, Cambio y Democracia (People, Change, and Democracy Party) after withdrawing from the Concentración de Fuerzas Populares (Popular Forces Concentration). He governed until 24 May 1981, when he died, along with his wife and the minister of defense Marco Subia Martinez , when his Air Force plane crashed in heavy rain near

1035-591: A division of the former territory of the Royal Audience of Quito . Quito, which remained the capital of the department and republic, is located only about 40 kilometers (25 mi), 1 ⁄ 4 of a degree , south of the equator. Various peoples had settled in the area of future Ecuador before the arrival of the Incas . The archeological evidence suggests that the Paleo-Indians ' first dispersal into

1150-487: A measure of inequality of income or wealth . For OECD countries in the late 20th century, considering the effect of taxes and transfer payments , the income Gini coefficient ranged between 0.24 and 0.49, with Slovakia being the lowest and Mexico the highest. African countries had the highest pre-tax Gini coefficients in 2008–2009, with South Africa having the world's highest, estimated to be 0.63 to 0.7. However, this figure drops to 0.52 after social assistance

1265-446: A proportion f of all income, then the Gini coefficient is f − u . A more graded distribution with these same values u and f will always have a higher Gini coefficient than f − u . For example, if the wealthiest u = 20% of the population has f = 80% of all income (see Pareto principle ), the income Gini coefficient is at least 60%. In another example, if u = 1% of the world's population owns f = 50% of all wealth,

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1380-545: A series of peaceful treaties, and Peru after a short war in which the Protocol of Rio de Janeiro was signed in 1942. During the struggle for independence , before Peru or Ecuador became independent, areas of the former Vice Royalty of New Granada declared themselves independent from Spain. A few months later, a part of the Peruvian liberation army of San Martín decided to occupy the independent cities of Tumbez and Jaén, with

1495-522: A small band of Spaniards headed by Francisco Pizarro reached Cajamarca and lured Atahualpa into a trap ( battle of Cajamarca ). Pizarro promised to release Atahualpa if he made good his promise of filling a room full of gold. But, after a mock trial, the Spaniards executed Atahualpa by strangulation. New infectious diseases such as smallpox , endemic to the Europeans, caused high fatalities among

1610-652: Is a country in northwestern South America , bordered by Colombia on the north, Peru on the east and south, and the Pacific Ocean on the west. It also includes the Galápagos Islands in the Pacific, about 1,000 kilometers (621 mi) west of the mainland. The country's capital is Quito and its largest city is Guayaquil . The territories of modern-day Ecuador were once home to a variety of indigenous peoples that were gradually incorporated into

1725-596: Is based on its leading role in trying to secure an independent, local government. Although the new government lasted no more than two months, it had important repercussions and was an inspiration for the independence movement of the rest of Spanish America. Today, 10 August is celebrated as Independence Day, a national holiday . On 9 October 1820, the Department of Guayaquil became the first territory in Ecuador to gain its independence from Spain, and it spawned most of

1840-461: Is equivalent to the definition based on the Lorenz curve . The mean absolute difference is the average absolute difference of all pairs of items of the population, and the relative mean absolute difference is the mean absolute difference divided by the average , x ¯ {\displaystyle {\bar {x}}} , to normalize for scale. If x i is the wealth or income of person i , and there are n persons, then

1955-430: Is from 0 (total equality) to 1 (absolute inequality). This measure is often rendered as a percentage, spanning 0 to 100. However, if negative values are factored in, as in cases of debt, the Gini index could exceed 1. Typically, we presuppose a positive mean or total, precluding a Gini coefficient below zero. An alternative approach is to define the Gini coefficient as half of the relative mean absolute difference , which

2070-490: Is large, the income distribution may be represented by a continuous probability density function f ( x ) where f ( x ) dx is the fraction of the population with wealth or income in the interval dx about x . If F ( x ) is the cumulative distribution function for f ( x ): and L ( x ) is the Lorenz function: then the Lorenz curve L ( F ) may then be represented as a function parametric in L ( x ) and F ( x ) and

2185-474: Is perfect income equality when everyone's income x j {\displaystyle x_{j}} equals the mean income x ¯ {\displaystyle {\overline {x}}} , so that r j = 1 {\displaystyle r_{j}=1} for everyone). Measures of inequality, then, are measures of the average deviations of the r j = 1 {\displaystyle r_{j}=1} from 1;

2300-423: Is taken into account, and drops again to 0.47 after taxation. The country with the lowest Gini coefficient is Slovakia, with a Gini coefficient of 0.232. The Gini coefficient of the global income in 2005 has been estimated to be between 0.61 and 0.68 by various sources. There are some issues in interpreting a Gini coefficient, as the same value may result from many different distribution curves. To mitigate this,

2415-575: Is the error function ( since G = 2 Φ ( σ 2 ) − 1 {\displaystyle G=2\Phi \left({\frac {\sigma }{\sqrt {2}}}\right)-1} , where Φ {\displaystyle \Phi } is the cumulative distribution function of a standard normal distribution). In the table below, some examples for probability density functions with support on [ 0 , ∞ ) {\displaystyle [0,\infty )} are shown. The Dirac delta distribution represents

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2530-405: Is the fraction of the population with income or wealth y i > 0 {\displaystyle y_{i}>0} , the Gini coefficient is: where If the points with non-zero probabilities are indexed in increasing order ( y i < y i + 1 ) {\displaystyle (y_{i}<y_{i+1})} , then: where When the population

2645-399: Is the mean of the distribution, and the lower limits of integration may be replaced by zero when all incomes are positive. While the income distribution of any particular country will not correspond perfectly to the theoretical models , these models can provide a qualitative explanation of the income distribution in a nation given the Gini coefficient. The extreme cases are represented by

2760-532: Is the official language spoken by a majority of the population, although 13 native languages are also recognized, including Quechua and Shuar . Ecuador is a representative democratic presidential republic and a developing country whose economy is highly dependent on exports of commodities, primarily petroleum and agricultural products. The country is a founding member of the United Nations , Organization of American States , Mercosur , PROSUR , and

2875-586: The 20 km walk . Ecuador adopted the United States dollar on 13 April 2000 as its national currency and on 11 September, the country eliminated the Ecuadorian sucre , in order to stabilize the country's economy . The US Dollar has been the only official currency of Ecuador since then. The emergence of the Amerindian population as an active constituency has added to the democratic volatility of

2990-571: The Axis Powers in World War II favoring Peru with the territory they occupied at the time the war came to an end. The 1944 Glorious May Revolution followed a military-civilian rebellion and a subsequent civic strike which successfully removed Carlos Arroyo del Río as a dictator from Ecuador's government. However, a post-Second World War recession and popular unrest led to a return to populist politics and domestic military interventions in

3105-659: The Bolivarian Alliance for the Americas in June 2009. Correa's administration reduced the high levels of poverty and unemployment in Ecuador. Correa's three consecutive terms (from 2007 to 2017) were followed by his former Vice President Lenín Moreno 's four years as president (2017–21). After being elected in 2017, President Moreno's government adopted economically liberal policies, such as reduction of public spending , trade liberalization , and flexibility of

3220-648: The Galapagos Islands . The 19th century was marked by instability for Ecuador with a rapid succession of rulers. The first president of Ecuador was the Venezuelan-born Juan José Flores , who was ultimately deposed. Leaders who followed him included Vicente Rocafuerte ; José Joaquín de Olmedo ; José María Urbina ; Diego Noboa ; Pedro José de Arteta ; Manuel de Ascásubi ; and Flores's own son, Antonio Flores Jijón , among others. The conservative Gabriel García Moreno unified

3335-535: The Galápagos Islands . In recognition of its unique ecological heritage, the new constitution of 2008 is the first in the world to recognize legally enforceable rights of nature . The country's name means " Equator " in Spanish, truncated from the Spanish official name, República del Ecuador ( lit. "Republic of the Equator"), derived from the former Ecuador Department of Gran Colombia established in 1824 as

3450-456: The Gini coefficient ( / ˈ dʒ iː n i / JEE -nee ), also known as the Gini index or Gini ratio , is a measure of statistical dispersion intended to represent the income inequality , the wealth inequality , or the consumption inequality within a nation or a social group . It was developed by Italian statistician and sociologist Corrado Gini . The Gini coefficient measures

3565-534: The Inca Empire during the 15th century. The territory was colonized by Spanish Empire during the 16th century, achieving independence in 1820 as part of Gran Colombia , from which it emerged as a sovereign state in 1830. The legacy of both empires is reflected in Ecuador's ethnically diverse population, with most of its 17.8 million people being mestizos , followed by large minorities of Europeans , Native American , African , and Asian descendants. Spanish

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3680-531: The Inca Empire in 1463 sharing the same language. In contrast, when the Incas made incursions into coastal Ecuador and the eastern Amazon jungles of Ecuador, they found both the environment and indigenous people more hostile. Moreover, when the Incas tried to subdue them, these indigenous people withdrew to the interior and resorted to guerrilla tactics. As a result, Inca expansion into the Amazon Basin and

3795-592: The Non-Aligned Movement . According to the Center for Economic and Policy Research , between 2006 and 2016, poverty decreased from 36.7% to 22.5% and annual per capita GDP growth was 1.5 percent (as compared to 0.6 percent over the prior two decades). At the same time, the country's Gini index of economic inequality improved from 0.55 to 0.47. One of 17 megadiverse countries in the world, Ecuador hosts many endemic plants and animals, such as those of

3910-744: The Spanish Empire and the Portuguese Empire . Moreover, to add legitimacy to his claims, on 16 February 1840, Flores signed a treaty with Spain, whereby Flores convinced Spain to officially recognize Ecuadorian independence and its sole rights to colonial titles over Spain's former colonial territory known anciently to Spain as the Kingdom and Presidency of Quito. Ecuador during its long and turbulent history has lost most of its contested territories to each of its more powerful neighbors, such as Colombia in 1832 and 1916, Brazil in 1904 through

4025-711: The Treaty of Guayaquil (1829) which Peru reluctantly signed, after the overwhelmingly outnumbered Gran Colombian force led by Antonio José de Sucre defeated President and General La Mar's Peruvian invasion force in the Battle of Tarqui . In addition, Ecuador's eastern border with the Portuguese colony of Brazil in the Amazon Basin was modified before the Wars of Independence by the First Treaty of San Ildefonso (1777) between

4140-408: The X k indexed in increasing order ( X k – 1 < X k ), so that: If the Lorenz curve is approximated on each interval as a line between consecutive points, then the area B can be approximated with trapezoids and: is the resulting approximation for G. More accurate results can be obtained using other methods to approximate the area B, such as approximating the Lorenz curve with

4255-415: The inequality among the values of a frequency distribution , such as levels of income . A Gini coefficient of 0 reflects perfect equality, where all income or wealth values are the same, while a Gini coefficient of 1 (or 100%) reflects maximal inequality among values, a situation where a single individual has all the income while all others have none. The Gini coefficient was proposed by Corrado Gini as

4370-591: The 1960s, while foreign companies developed oil resources in the Ecuadorian Amazon. In 1972, construction of the Andean pipeline was completed. The pipeline brought oil from the east side of the Andes to the coast, making Ecuador South America's second largest oil exporter. In 1978, the city of Quito and the Galápagos Islands were inscribed as UNESCO World Heritage Sites , making the first two properties in

4485-521: The Americas occurred near the end of the last glacial period , around 16,500–13,000 years ago. The first people who reached Ecuador may have journeyed by land from North and Central America or by boat down the Pacific Ocean coastline. Even though their languages were unrelated, these groups developed similar groups of cultures, each based in different environments. The people of the coast combined agriculture with fishing, hunting, and gathering;

4600-493: The Amerindian population during the first decades of Spanish rule, as they had no immunity . At the same time, the natives were forced into the encomienda labor system for the Spanish. In 1563, Quito became the seat of a real audiencia (administrative district) of Spain and part of the Viceroyalty of Peru and later the Viceroyalty of New Granada . The 1797 Riobamba earthquake , which caused up to 40,000 casualties,

4715-629: The Caqueta river and the Marañon-Amazon river. Peru ignored these protests and created the Department of Loreto in 1853 with its capital in Iquitos. Peru briefly occupied Guayaquil again in 1860, since Peru thought that Ecuador was selling some of the disputed land for development to British bond holders, but returned Guayaquil after a few months. The border dispute was then submitted to Spain for arbitration from 1880 to 1910, but to no avail. In

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4830-638: The Caquetá river. Later, Ecuador contended that the Republic of Colombia, while reorganizing its government, unlawfully made its eastern border provisional and that Colombia extended its claims south to the Napo River because it said that the Government of Popayán extended its control all the way to the Napo River. When Ecuador seceded from the Gran Colombia, Peru contested Ecuador's claims with

4945-545: The Cedula of 1802 an ecclesiastical instrument, which had nothing to do with political borders. Peru began its de facto occupation of disputed Amazonian territories, after it signed a secret 1851 peace treaty in favor of Brazil. This treaty disregarded Spanish rights that were confirmed during colonial times by a Spanish-Portuguese treaty over the Amazon regarding territories held by illegal Portuguese settlers. Peru began occupying

5060-851: The Colombian government's representatives an agreement was reached and the Muñoz Vernaza-Suarez Treaty was signed 15 July 1916, in which Colombian rights to the Putumayo river were recognized as well as Ecuador's rights to the Napo river and the new border was a line that ran midpoint between those two rivers. In this way, Ecuador gave up the claims it had to the Amazonian territories between the Caquetá River and Napo River to Colombia, thus cutting itself off from Brazil. Later,

5175-648: The District of the South as far back as April 1830. Moreover, the Cauca region, throughout its long history, had very strong economic and cultural ties with the people of Ecuador. Also, the Cauca region, which included such cities as Pasto , Popayán , and Buenaventura , had always been dependent on the Presidencia or Audiencia of Quito. Fruitless negotiations continued between the governments of Bogotá and Quito, where

5290-578: The Ecuadorian border troops. Finally, on 23 July 1941, the Peruvians launched a major invasion, crossing the Zarumilla river in force and advancing into the Ecuadorian province of El Oro . During the course of the Ecuadorian–Peruvian War , Peru gained control over part of the disputed territory and some parts of the province of El Oro, and some parts of the province of Loja , demanding that

5405-650: The Ecuadorian coastal provinces, establishing itself as an independent state. Its inhabitants celebrated what is now Ecuador's official Independence Day on 24 May 1822. The rest of Ecuador gained its independence after Antonio José de Sucre defeated the Spanish Royalist forces at the Battle of Pichincha , near Quito . Following the battle, Ecuador joined Simón Bolívar 's Republic of Gran Colombia , also including modern-day Colombia , Venezuela , and Panama . In 1830, Ecuador separated from Gran Colombia and became an independent republic. Two years later, it annexed

5520-605: The Ecuadorian government give up its territorial claims. The Peruvian Navy blocked the port of Guayaquil , almost cutting all supplies to the Ecuadorian troops. After a few weeks of war and under pressure by the United States and several Latin American nations, all fighting came to a stop. Ecuador and Peru came to an accord formalized in the Rio Protocol , signed on 29 January 1942, in favor of hemispheric unity against

5635-490: The Ecuadorian military shot down Peruvian aircraft and helicopters and Peruvian infantry marched into southern Ecuador. Each country blamed the other for the onset of hostilities, known as the Cenepa War . Sixto Durán Ballén , the Ecuadorian president, famously declared that he would not give up a single centimeter of Ecuador. Popular sentiment in Ecuador became strongly nationalistic against Peru: graffiti could be seen on

5750-437: The Gini coefficient G is given by: When the income (or wealth) distribution is given as a continuous probability density function p ( x ), the Gini coefficient is again half of the relative mean absolute difference: where μ = ∫ − ∞ ∞ x p ( x ) d x {\displaystyle \textstyle \mu =\int _{-\infty }^{\infty }xp(x)\,dx}

5865-687: The Gini coefficient will be a function only of a, b, c... . For example, for the exponential distribution , which is a function of only x and a scale parameter, the Gini coefficient is a constant, equal to 1/2. For some functional forms, the Gini index can be calculated explicitly. For example, if y follows a log-normal distribution with the standard deviation of logs equal to σ {\displaystyle \sigma } , then G = erf ⁡ ( σ 2 ) {\displaystyle G=\operatorname {erf} \left({\frac {\sigma }{2}}\right)} where erf {\displaystyle \operatorname {erf} }

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5980-554: The Gran Colombian federation on 13 May 1830. After Ecuador's separation, the Department of Cauca voluntarily decided to unite itself with Ecuador due to instability in the central government of Bogota. The Venezuelan born President of Ecuador, the general Juan José Flores , with the approval of the Ecuadorian congress annexed the Department of Cauca on 20 December 1830, since the government of Cauca had called for union with

6095-419: The Incas two generations of rulers— Topa Inca Yupanqui and Huayna Capac —to absorb them into the Inca Empire . People belonging to the confederations that gave them the most problems were deported to distant areas of Peru, Bolivia, and north Argentina. Similarly, a number of loyal Inca subjects from Peru and Bolivia were brought to Ecuador to prevent rebellion. Thus, the region of highland Ecuador became part of

6210-682: The Pacific Ocean known as Tumbes . In Ecuador's southern Andes Mountain region where the Marañon cuts across, Ecuador had claims to an area it called Jaén de Bracamoros . These areas were included as part of the territory of Gran Colombia by Bolivar on 17 December 1819, during the Congress of Angostura when the Republic of Gran Colombia was created. Tumbes declared itself independent from Spain on 17 January 1821, and Jaén de Bracamoros on 17 June 1821, without any outside help from revolutionary armies. However, that same year, Peruvian forces participating in

6325-454: The Pacific coast of Ecuador was hampered. The indigenous people of the Amazon jungle and coastal Ecuador remained relatively autonomous until the Spanish soldiers and missionaries arrived in force. The Amazonian people and the Cayapas of Coastal Ecuador were the only groups to resist both Inca and Spanish domination, maintaining their languages and cultures well into the 21st century. Before

6440-476: The Peruvian border. Many people believe that he was assassinated by the CIA, given the multiple death threats against him because of his reformist agenda, the deaths in automobile crashes of two key witnesses before they could testify during the investigation, and the sometimes contradictory accounts of the incident. Roldos was immediately succeeded by Vice President Osvaldo Hurtado. In 1984, León Febres Cordero from

6555-459: The Putomayo and Marañon Rivers. In July 1941, troops were mobilized in both countries. Peru had an army of 11,681 troops who faced a poorly supplied and inadequately armed Ecuadorian force of 2,300, of which only 1,300 were deployed in the southern provinces. Hostilities erupted on 5 July 1941, when Peruvian forces crossed the Zarumilla river at several locations, testing the strength and resolve of

6670-693: The Social Christian Party was elected president. Rodrigo Borja Cevallos of the Democratic Left (Izquierda Democrática, or ID) party won the presidency in 1988, winning the runoff election against Abdalá Bucaram (brother in law of Jaime Roldos and founder of the Ecuadorian Roldosist Party). His government was committed to improving human rights protection and carried out some reforms, notably an opening of Ecuador to foreign trade. The Borja government negotiated

6785-617: The Trujillo revolution occupied both Jaén and Tumbes. Peruvian generals, without any legal titles backing them up and with Ecuador still federated with the Gran Colombia, had the desire to annex Ecuador to the Republic of Peru at the expense of the Gran Colombia, feeling that Ecuador was once part of the Inca Empire. On 28 July 1821, Peruvian independence was proclaimed in Lima by San Martín, and Tumbes and Jaén, which were included as part of

6900-554: The United States of America) ruled that the border of the undelineated zone was to be set at the line of the Cordillera del Cóndor . While Ecuador had to give up its decades-old territorial claims to the eastern slopes of the Cordillera, as well as to the entire western area of Cenepa headwaters, Peru was compelled to give to Ecuador, in perpetual lease but without sovereignty, 1 km (0.39 sq mi) of its territory, in

7015-596: The Zarumilla River, war broke out with Peru. Peru claimed that Ecuador's military presence in Peruvian-claimed territory was an invasion; Ecuador, for its part, claimed that Peru had recently invaded Ecuador around the Zarumilla River and that Peru since Ecuador's independence from Spain has systematically occupied Tumbez, Jaén, and most of the disputed territories in the Amazonian Basin between

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7130-487: The area where the Ecuadorian base of Tiwinza – focal point of the war – had been located within Peruvian soil and which the Ecuadorian Army held during the conflict. The final border demarcation came into effect on 13 May 1999, and the multi-national MOMEP (Military Observer Mission for Ecuador and Peru) troop deployment withdrew on 17 June 1999. In 1972, a "revolutionary and nationalist" military junta overthrew

7245-488: The arrival of the Spaniards, the Inca Empire was involved in a civil war . The untimely death of both the heir Ninan Cuyochi and the Emperor Huayna Capac, from a European disease that spread into Ecuador, created a power vacuum between two factions and led to a civil war. The army stationed north headed by Atahualpa marched south to Cuzco and massacred the royal family associated with his brother. In 1532,

7360-412: The case where everyone has the same wealth (or income); it implies no variations between incomes. Sometimes the entire Lorenz curve is not known, and only values at certain intervals are given. In that case, the Gini coefficient can be approximated using various techniques for interpolating the missing values of the Lorenz curve. If ( X k , Y k ) are the known points on the Lorenz curve, with

7475-410: The country in recent years. The population has been motivated by government failures to deliver on promises of land reform, lower unemployment and provision of social services, and the historical exploitation by the land-holding elite. Their movement, along with the continuing destabilizing efforts by both the elite and leftist movements, has led to a deterioration of the executive office. The populace and

7590-435: The country in the 1860s with the support of the Roman Catholic Church. In the late 19th century, world demand for cocoa tied the economy to commodity exports and led to migrations from the highlands to the agricultural frontier on the coast. Ecuador abolished slavery in 1851. The descendants of enslaved Ecuadorians are among today's Afro-Ecuadorian population. The Liberal Revolution of 1895 under Eloy Alfaro reduced

7705-521: The demographic structure should be taken into account. Countries with an aging population, or those with an increased birth rate, experience an increasing pre-tax Gini coefficient even if real income distribution for working adults remains constant. Many scholars have devised over a dozen variants of the Gini coefficient. The Gini coefficient was developed by the Italian statistician Corrado Gini and published in his 1912 paper Variabilità e mutabilità (English: variability and mutability ). Building on

7820-459: The disbanding of the small terrorist group, " ¡Alfaro Vive, Carajo! " ("Alfaro Lives, Dammit!"), named after Eloy Alfaro . However, continuing economic problems undermined the popularity of the ID party, and opposition parties gained control of Congress in 1999. A notable event was the Cenepa War fought between Ecuador and Peru in 1995. Ecuador won its first Olympic medal in the 1996 Summer Olympics in Atlanta when Jefferson Pérez won gold in

7935-469: The dispute in an equitable manner and to submit the differing points of the dispute to the United States for arbitration. Negotiations between the Ecuadorian and Peruvian representatives began in Washington on 30 September 1935. The negotiations turned into arguments during the next 7 months and finally on 29 September 1937, the Peruvian representatives decided to break off the negotiations. In 1941, amid fast-growing tensions within disputed territories around

8050-412: The distance of the inequality ratios (the r j ) from 1. Gini coefficients of income are calculated on a market income and a disposable income basis. The Gini coefficient on market income—sometimes referred to as a pre-tax Gini coefficient—is calculated on income before taxes and transfers. It measures inequality in income without considering the effect of taxes and social spending already in place in

8165-412: The early part of the 20th century, Ecuador made an effort to peacefully define its eastern Amazonian borders with its neighbours through negotiation. On 6 May 1904, Ecuador signed the Tobar-Rio Branco Treaty recognizing Brazil's claims to the Amazon in recognition of Ecuador's claim to be an Amazonian country to counter Peru's earlier Treaty with Brazil back on 23 October 1851. Then after a few meetings with

8280-451: The error distributions and the independence of error terms. These assumptions are often not valid for real data sets. There is still ongoing debate surrounding this topic. Guillermina Jasso and Angus Deaton independently proposed the following formula for the Gini coefficient: where μ {\displaystyle \mu } is mean income of the population, P i is the income rank P of person i, with income X, such that

8395-401: The estimate of A can be used to derive the estimate of G directly without using a jackknife. This method only requires using ordinary least squares regression after ordering the sample data. The results compare favorably with the estimates from the jackknife with agreement improving with increasing sample size. However, it has been argued that this depends on the model's assumptions about

8510-693: The government of Bogotá did not recognize the separation of Ecuador or that of Cauca from the Gran Colombia until war broke out in May 1832. In five months, New Granada defeated Ecuador due to the fact that the majority of the Ecuadorian Armed Forces were composed of rebellious angry unpaid veterans from Venezuela and Colombia that did not want to fight against their fellow countrymen. Seeing that his officers were rebelling, mutinying, and changing sides, President Flores had no option but to reluctantly make peace with New Granada. The Treaty of Pasto of 1832

8625-717: The government of Velasco Ibarra. The coup d'état was led by General Guillermo Rodríguez and executed by navy commander Jorge Queirolo G. The new president exiled José María Velasco to Argentina. He remained in power until 1976, when he was removed by another military government. That military junta was led by Admiral Alfredo Poveda , who was declared chairman of the Supreme Council. The Supreme Council included two other members: General Guillermo Durán Arcentales and General Luis Pintado. The civil society more and more insistently called for democratic elections. Colonel Richelieu Levoyer , Government Minister, proposed and implemented

8740-425: The government restored fuel subsidies and withdrew an austerity package, which ended nearly two weeks of protests. In the 11 April 2021 election , conservative former banker Guillermo Lasso took 52.4% of the vote, compared to 47.6% for left-wing economist Andrés Aráuz , who was supported by exiled former president Correa. Lasso had finished second in the 2013 and 2017 presidential elections. On 24 May 2021, Lasso

8855-576: The government waived the right to tax increases in raw material prices and foreign exchange repatriations. In October 2018, Moreno cut diplomatic relations with the Maduro administration of Venezuela, a close ally of Correa. The relations with the United States improved significantly under Moreno. In June 2019, Ecuador agreed to allow US military planes to operate from an airport on the Galapagos Islands. In February 2020, his visit to Washington

8970-435: The greater the average deviation, the greater the inequality. Based on these observations the inequality indices have this common form: where p j weights the units by their population share, and f ( r j ) is a function of the deviation of each unit's r j from 1, the point of equality. The insight of this generalized inequality index is that inequality indices differ because they employ different functions of

9085-410: The highland Andes mountains, where life was more sedentary, groups of tribes cooperated and formed villages; thus the first nations based on agricultural resources and the domestication of animals formed. Eventually, through wars and marriage alliances of their leaders , groups of nations formed confederations. When the Incas arrived, they found that these confederations were so developed that it took

9200-436: The integration is taken from minus infinity to plus infinity.) The Gini coefficient may be expressed in terms of the quantile function Q ( F ) (inverse of the cumulative distribution function: Q(F(x)) = x) Since the Gini coefficient is independent of scale , if the distribution function can be expressed in the form f(x,φ,a,b,c...) where φ is a scale factor and a, b, c... are dimensionless parameters, then

9315-506: The intention of using them as springboards to occupy the independent city of Guayaquil and then liberate the rest of the Audiencia de Quito (Ecuador). It was common knowledge among officers of the liberation army from the south that their leader San Martín wished to liberate present-day Ecuador and add it to the future republic of Peru, since it had been part of the Inca Empire before the Spaniards conquered it. However, Bolívar 's intention

9430-484: The labour code. Ecuador also left the left-wing Bolivarian Alliance for the Americas (Alba) in August 2018. The Productive Development Act introduced an austerity policy, and reduced the previous development and redistribution policies. Regarding taxes, the authorities aimed to "encourage the return of investors" by granting amnesty to fraudsters and proposing measures to reduce tax rates for large companies . In addition,

9545-457: The link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=EQA&oldid=1140223039 " Category : Disambiguation pages Hidden categories: Short description is different from Wikidata All article disambiguation pages All disambiguation pages Ecuador Ecuador , officially the Republic of Ecuador ,

9660-461: The lowest and Italy the highest. The Gini coefficient (after-taxes and transfers) for a total population ranged between 0.25 and 0.48, with Denmark the lowest and Mexico the highest. For the United States, the country with the largest population among OECD countries, the pre-tax Gini index was 0.49, and the after-tax Gini index was 0.38 in 2008–2009. The OECD average for total populations in OECD countries

9775-424: The measurement of concentration and variability of characters in 1914. Here, he presented the concentration ratio , which further developed in the Gini coefficient used today. Secondly, Gini observed that his proposed ratio can be also achieved by improving methods already introduced by Lorenz, Chatelain, or Séailles. In 1915, Gaetano Pietra introduced a geometrical interpretation between Gini's proposed ratio and

9890-588: The missionary villages in the Mainas or Maynas region, which it began calling Loreto, with its capital in Iquitos . During its negotiations with Brazil, Peru claimed Amazonian Basin territories up to Caqueta River in the north and toward the Andes Mountain range. Colombia protested stating that its claims extended south toward the Napo and Amazon Rivers. Ecuador protested that it claimed the Amazon Basin between

10005-406: The most equal possible society in which every person receives the same income ( G = 0 ), and the most unequal society (with N individuals) where a single person receives 100% of the total income and the remaining N − 1 people receive none ( G = 1 − 1/ N ). A simple case assumes just two levels of income, low and high. If the high income group is a proportion u of the population and earns

10120-469: The need to divide by N² instead. FAO explains another version of the formula. The Gini coefficient and other standard inequality indices reduce to a common form. Perfect equality—the absence of inequality—exists when and only when the inequality ratio, r j = x j / x ¯ {\displaystyle r_{j}=x_{j}/{\overline {x}}} , equals 1 for all j units in some population (for example, there

10235-541: The newly discovered Real Cedula of 1802, by which Peru claims the King of Spain had transferred these lands from the Viceroyalty of New Granada to the Viceroyalty of Peru. During colonial times this was to halt the ever-expanding Portuguese settlements into Spanish domains, which were left vacant and in disorder after the expulsion of Jesuit missionaries from their bases along the Amazon Basin. Ecuador countered by labeling

10350-558: The other branches of government give the president very little political capital, as illustrated by the most recent removal of President Lucio Gutiérrez from office by Congress in April 2005. Vice President Alfredo Palacio took his place In the election of 2006 , Rafael Correa gained the presidency. In January 2007, several left-wing political leaders of Latin America, his future allies, attended his swearing-in ceremony. Endorsed in

10465-589: The people of the highland Andes developed a sedentary agricultural way of life; and peoples of the Amazon basin relied on hunting and gathering; in some cases, this is combined with agriculture and arboriculture . Many civilizations arose in Ecuador, such as the Valdivia Culture and Machalilla Culture on the coast, the Quitus (near present-day Quito), and the Cañari (near present-day Cuenca ). In

10580-432: The population Gini coefficient, should be reported. These can be calculated using bootstrap techniques, mathematically complicated and computationally demanding even in an era of fast computers. Economist Tomson Ogwang made the process more efficient by setting up a "trick regression model" in which respective income variables in the sample are ranked, with the lowest income being allocated rank 1. The model then expresses

10695-433: The power of the clergy and the conservative land owners. This liberal wing retained power until the military "Julian Revolution" of 1925. The 1930s and 1940s were marked by instability and emergence of populist politicians, such as five-time President José María Velasco Ibarra . Brasilia Presidential Act After Ecuador's separation from Colombia on 13 May 1830, its first President, General Juan José Flores , laid claim to

10810-408: The rank (dependent variable) as the sum of a constant A and a normal error term whose variance is inversely proportional to y k : Thus, G can be expressed as a function of the weighted least squares estimate of the constant A and that this can be used to speed up the calculation of the jackknife estimate for the standard error. Economist David Giles argued that the standard error of

10925-499: The ratio between the area of observed concentration and maximum concentration. This altered version of Gini coefficient became the most commonly used inequality index in upcoming years. According to data from OECD , Gini coefficient was first officially used country-wide in Canada in the 1970s. Canadian index of income inequality ranged from 0.303 to 0.284 from 1976 to the end of 1980s. OECD started to publish more countries’ data since

11040-428: The ratio of the area that lies between the line of equality and the Lorenz curve (marked A in the diagram) over the total area under the line of equality (marked A and B in the diagram); i.e., G = A /( A + B ) . If there are no negative incomes, it is also equal to 2 A and 1 − 2 B due to the fact that A + B = 0.5 . Assuming non-negative income or wealth for all, the Gini coefficient's theoretical range

11155-417: The revolution of Trujillo by the Peruvian occupying force, had the whole region swear allegiance to the new Peruvian flag and incorporated itself into Peru. Gran Colombia had always protested Peru for the return of Jaén and Tumbes for almost a decade, then finally Bolivar after long and futile discussion over the return of Jaén, Tumbes, and part of Mainas, declared war. President and General José de La Mar , who

11270-549: The richest person receives a rank of 1 and the poorest a rank of N . This effectively gives higher weight to poorer people in the income distribution, which allows the Gini to meet the Transfer Principle . Note that the Jasso-Deaton formula rescales the coefficient so that its value is one if all the X i {\displaystyle X_{i}} are zero except one. Note however Allison's reply on

11385-604: The sample Gini coefficient is a consistent estimator of the population Gini coefficient, but is not in general unbiased . In simplified form: There does not exist a sample statistic that is always an unbiased estimator of the population Gini coefficient. For a discrete probability distribution with probability mass function f ( y i ) , {\displaystyle f(y_{i}),} i = 1 , … , n {\displaystyle i=1,\ldots ,n} , where f ( y i ) {\displaystyle f(y_{i})}

11500-717: The signing of the Treaty of Guayaquil in September 1829, whereby Peru and its Congress recognized Gran Colombian rights over Tumbes, Jaén, and Maynas. Through meetings between Peru and Gran Colombia, the border was set as Tumbes river in the west, and in the east, the Maranon and Amazon rivers were to be followed toward Brazil as the most natural borders between them. According to the peace negotiations Peru agreed to return Guayaquil, Tumbez, and Jaén; despite this, Peru returned Guayaquil, but failed to return Tumbes and Jaén, alleging that it

11615-414: The start of the 21st century. Central European countries Slovenia , Czechia , and Slovakia have had the lowest inequality index out of all OECD countries ever since the 2000s. Scandinavian countries also frequently appeared at the top of the list of equality in the last decades. The Gini coefficient is an index for the degree of inequality in the distribution of income/wealth, used to estimate how far

11730-570: The territory that had belonged to the Real Audiencia of Quito , also referred to as the Presidencia of Quito. He supported his claims with Spanish Royal decrees, or real cedulas , that delineated the borders of Spain's former overseas colonies. In the case of Ecuador, Flores based Ecuador's de jure claims on the Real Cedulas of 1563, 1739, and 1740; with modifications in the Amazon Basin and Andes Mountains that were introduced through

11845-445: The value of B can be found by integration : The Gini coefficient can also be calculated directly from the cumulative distribution function of the distribution F ( y ). Defining μ as the mean of the distribution, and specifying that F ( y ) is zero for all negative values, the Gini coefficient is given by: The latter result comes from integration by parts . (Note that this formula can be applied when there are negative values if

11960-632: The walls of Quito referring to Peru as the " Cain de Latinoamérica ", a reference to the murder of Abel by his brother Cain in the Book of Genesis . Ecuador and Peru signed the Brasilia Presidential Act peace agreement on 26 October 1998, which ended hostilities, and effectively put an end to the Western Hemisphere's longest running territorial dispute. The Guarantors of the Rio Protocol (Argentina, Brazil, Chile, and

12075-572: The wealth Gini coefficient is at least 49%. In some cases, this equation can be applied to calculate the Gini coefficient without direct reference to the Lorenz curve . For example, (taking y to indicate the income or wealth of a person or household): The Gini coefficient can also be considered as half the relative mean absolute difference . For a random sample S with values y 1 ≤ y 2 ≤ ⋯ ≤ y n {\displaystyle y_{1}\leq y_{2}\leq \cdots \leq y_{n}} ,

12190-441: The work of American economist Max Lorenz , Gini proposed that the difference between the hypothetical straight line depicting perfect equality, and the actual line depicting people's incomes, be used as a measure of inequality. In this paper, he introduced the concept of simple mean difference as a measure of variability. He then applied the simple mean difference of observed variables to income and wealth inequality in his work On

12305-623: The world to become listed sites. The Rio Protocol failed to precisely resolve the border along a little river in the remote Cordillera del Cóndor region in southern Ecuador. This caused a long-simmering dispute between Ecuador and Peru, which ultimately led to fighting between the two countries; first a border skirmish in January–February 1981 known as the Paquisha Incident , and ultimately full-scale warfare in January 1995 where

12420-524: Was 0.46 for the pre-tax income Gini index and 0.31 for the after-tax income Gini index. Taxes and social spending that were in place in 2008–2009 period in OECD countries significantly lowered effective income inequality, and in general, "European countries—especially Nordic and Continental welfare states —achieve lower levels of income inequality than other countries." Using the Gini can help quantify differences in welfare and compensation policies and philosophies. However, it should be borne in mind that

12535-512: Was born in Ecuador, believing his opportunity had come to annex the District of Ecuador to Peru, personally, with a Peruvian force, invaded and occupied Guayaquil and a few cities in the Loja region of southern Ecuador on 28 November 1828. The war ended when an outnumbered southern Gran Colombian army at Battle of Tarqui on 27 February 1829, led by Antonio José de Sucre , defeated the Peruvian invasion force led by President La Mar. This defeat led to

12650-584: Was not obligated to follow the agreements, since the Gran Colombia ceased to exist when it divided itself into three different nations – Ecuador, Colombia, and Venezuela. The Central District of the Gran Colombia, known as Cundinamarca or New Granada (modern Colombia) with its capital in Bogota, did not recognize the separation of the Southern District of the Gran Colombia, with its capital in Quito, from

12765-595: Was signed by which the Department of Cauca was turned over to New Granada (modern Colombia), the government of Bogotá recognized Ecuador as an independent country and the border was to follow the Ley de División Territorial de la República de Colombia (Law of the Division of Territory of the Gran Colombia) passed on 25 June 1824. This law set the border at the river Carchi and the eastern border that stretched to Brazil at

12880-505: Was studied by Alexander von Humboldt , when he visited the area in 1801–1802. After nearly 300 years of Spanish rule, Quito still remained small with a population of 10,000 people. On 10 August 1809, the city's criollos called for independence from Spain (first among the peoples of Latin America). They were led by Juan Pío Montúfar, Quiroga, Salinas, and Bishop Cuero y Caicedo. Quito's nickname, " Luz de América " ("Light of America"),

12995-507: Was sworn in, becoming the country's first right-wing leader in 14 years. Lasso's party CREO Movement, and its ally the Social Christian Party (PSC) won only 31 parliamentary seats out of 137, while Aráuz's Union for Hope (UNES) won 49 seats, which meant Lasso needed support from the Izquierda Democrática and the indigenist Pachakutik parties to push through his legislative agenda. Gini coefficient In economics ,

13110-408: Was the first meeting between an Ecuadorian and U.S. president in 17 years. A series of protests began on 3 October 2019 against the end of fuel subsidies and austerity measures adopted by Moreno. On 10 October, protesters overran Quito, the capital, causing the Government of Ecuador to relocate temporarily to Guayaquil . The government eventually returned to Quito in 2019. On 14 October 2019,

13225-489: Was to form a new republic known as the Gran Colombia , out of the liberated Spanish territory of New Granada which consisted of Colombia, Venezuela, and Ecuador. San Martín's plans were thwarted when Bolívar, descended from the Andes mountains and occupied Guayaquil; they also annexed the newly liberated Audiencia de Quito to the Republic of Gran Colombia. In the south, Ecuador had claims to a small piece of land beside

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