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Atkinson Index
The Atkinson index (also known as the Atkinson measure or Atkinson inequality measure) is a measure of income inequality developed by British economist Anthony Barnes Atkinson. The measure is useful in determining which end of the distribution contributed most to the observed inequality. Definition The index can be turned into a normative measure by imposing a coefficient \varepsilon to weight incomes. Greater weight can be placed on changes in a given portion of the income distribution by choosing \varepsilon, the level of "inequality aversion", appropriately. The Atkinson index becomes more sensitive to changes at the lower end of the income distribution as \varepsilon increases. Conversely, as the level of inequality aversion falls (that is, as \varepsilon approaches 0) the Atkinson becomes less sensitive to changes in the lower end of the distribution. The Atkinson index is for no value of \varepsilon highly sensitive to top incomes because of the common restriction that \varep ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Income Inequality
There are wide varieties of economic inequality, most notably income inequality measured using the distribution of income (the amount of money people are paid) and wealth inequality measured using the distribution of wealth (the amount of wealth people own). Besides economic inequality between countries or states, there are important types of economic inequality between different groups of people. Important types of economic measurements focus on wealth, income, and consumption. There are many methods for measuring economic inequality, the Gini coefficient being a widely used one. Another type of measure is the Inequality-adjusted Human Development Index, which is a statistic composite index that takes inequality into account. Important concepts of equality include equity, equality of outcome, and equality of opportunity. Whereas globalization has reduced global inequality (between nations), it has increased inequality within nations. Income inequality between nations p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lua Programming Language
Lua ( ; from meaning ''moon'') is a lightweight, high-level, multi-paradigm programming language designed primarily for embedded use in applications. Lua is cross-platform, since the interpreter of compiled bytecode is written in ANSI C, and Lua has a relatively simple C API to embed it into applications. Lua originated in 1993 as a language for extending software applications to meet the increasing demand for customization at the time. It provided the basic facilities of most procedural programming languages, but more complicated or domain-specific features were not included; rather, it included mechanisms for extending the language, allowing programmers to implement such features. As Lua was intended to be a general embeddable extension language, the designers of Lua focused on improving its speed, portability, extensibility, and ease-of-use in development. History Lua was created in 1993 by Roberto Ierusalimschy, Luiz Henrique de Figueiredo, and Waldemar Celes, m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Python (programming Language)
Python is a high-level, general-purpose programming language. Its design philosophy emphasizes code readability with the use of significant indentation. Python is dynamically-typed and garbage-collected. It supports multiple programming paradigms, including structured (particularly procedural), object-oriented and functional programming. It is often described as a "batteries included" language due to its comprehensive standard library. Guido van Rossum began working on Python in the late 1980s as a successor to the ABC programming language and first released it in 1991 as Python 0.9.0. Python 2.0 was released in 2000 and introduced new features such as list comprehensions, cycle-detecting garbage collection, reference counting, and Unicode support. Python 3.0, released in 2008, was a major revision that is not completely backward-compatible with earlier versions. Python 2 was discontinued with version 2.7.18 in 2020. Python consistently r ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
United States Census Bureau
The United States Census Bureau (USCB), officially the Bureau of the Census, is a principal agency of the U.S. Federal Statistical System, responsible for producing data about the American people and economy. The Census Bureau is part of the U.S. Department of Commerce and its director is appointed by the President of the United States. The Census Bureau's primary mission is conducting the U.S. census every ten years, which allocates the seats of the U.S. House of Representatives to the states based on their population. The bureau's various censuses and surveys help allocate over $675 billion in federal funds every year and it assists states, local communities, and businesses make informed decisions. The information provided by the census informs decisions on where to build and maintain schools, hospitals, transportation infrastructure, and police and fire departments. In addition to the decennial census, the Census Bureau continually conducts over 130 surveys and p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
World Institute For Development Economics Research
The United Nations University World Institute for Development Economics Research (UNU-WIDER) is part of the United Nations University (UNU). UNU-WIDER, the first research and training centre to be established by the UNU, is an international academic organization set up with the aim of promoting peace and progress by bringing together leading scholars from around the world to tackle pressing global problems. UNU-WIDER The establishment of the UNU and UNU-WIDER In 1969 the UN Secretary General U Thant suggested that the time had arrived when serious consideration might be given to establishing an international university. An international university, the Secretary-General said, would be devoted to the Charter objectives of peace and progress. It would be staffed with professors from many nations and all parts of the world. The university would thus serve to break down the barriers that created misunderstanding and mistrust between nations and cultures. The UNU was established by th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Generalized Entropy Index
The generalized entropy index has been proposed as a measure of income inequality in a population. It is derived from information theory as a measure of redundancy in data. In information theory a measure of redundancy can be interpreted as non-randomness or data compression; thus this interpretation also applies to this index. In addition, interpretation of biodiversity as entropy has also been proposed leading to uses of generalized entropy to quantify biodiversity. Formula The formula for general entropy for real values of \alpha is: GE(\alpha) = \begin \frac\sum_^N\left left(\frac\right)^\alpha - 1\right& \alpha \ne 0, 1,\\ \frac\sum_^N\frac\ln\frac,& \alpha=1,\\ -\frac\sum_^N\ln\frac,& \alpha=0. \end where N is the number of cases (e.g., households or families), y_i is the income for case i and \alpha is a parameter which regulates the weight given to distances between incomes at different parts of the income distribution. For large \alpha the index is especially sensit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Income Inequality Metrics
Income inequality metrics or income distribution metrics are used by social scientists to measure the distribution of income and economic inequality among the participants in a particular economy, such as that of a specific country or of the world in general. While different theories may try to explain how income inequality comes about, income inequality metrics simply provide a system of measurement used to determine the dispersion of incomes. The concept of inequality is distinct from poverty and fairness. Income distribution has always been a central concern of economic theory and economic policy. Classical economists such as Adam Smith, Thomas Malthus and David Ricardo were mainly concerned with factor income distribution, that is, the distribution of income between the main factors of production, land, labour and capital. It is often related to wealth distribution, although separate factors influence wealth inequality. Modern economists have also addressed this issue, bu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Income Inequality Metrics
Income inequality metrics or income distribution metrics are used by social scientists to measure the distribution of income and economic inequality among the participants in a particular economy, such as that of a specific country or of the world in general. While different theories may try to explain how income inequality comes about, income inequality metrics simply provide a system of measurement used to determine the dispersion of incomes. The concept of inequality is distinct from poverty and fairness. Income distribution has always been a central concern of economic theory and economic policy. Classical economists such as Adam Smith, Thomas Malthus and David Ricardo were mainly concerned with factor income distribution, that is, the distribution of income between the main factors of production, land, labour and capital. It is often related to wealth distribution, although separate factors influence wealth inequality. Modern economists have also addressed this issue, bu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anthony Barnes Atkinson
Sir Anthony Barnes Atkinson (4 September 1944 – 1 January 2017) was a British economist, Centennial Professor at the London School of Economics, and senior research fellow of Nuffield College, Oxford. A student of James Meade, Atkinson virtually single-handedly established the modern British field of inequality and poverty studies. He worked on inequality and poverty for over four decades. Education and career Atkinson was born in Caerleon, a town in southern Wales near the border with England. Atkinson grew up in north Kent and attended Cranbrook School. After leaving school at the age of 17 he worked for IBM. After one year he left and moved to Hamburg to volunteer in a hospital in a deprived part of town. He cited his interest in inequality as beginning from this period as a volunteering in a German hospital and from studying the work of Peter Townsend. After studying mathematics for one year he changed to economics and graduated from the University of Cambridge i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometric Mean
In mathematics, the geometric mean is a mean or average which indicates a central tendency of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum). The geometric mean is defined as the th root of the product of numbers, i.e., for a set of numbers , the geometric mean is defined as :\left(\prod_^n a_i\right)^\frac = \sqrt /math> or, equivalently, as the arithmetic mean in logscale: :\exp For instance, the geometric mean of two numbers, say 2 and 8, is just the square root of their product, that is, \sqrt = 4. As another example, the geometric mean of the three numbers 4, 1, and 1/32 is the cube root of their product (1/8), which is 1/2, that is, \sqrt = 1/2. The geometric mean applies only to positive numbers. The geometric mean is often used for a set of numbers whose values are meant to be multiplied together or are exponential in nature, such as a set of growth figures: values of the human population or inte ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Generalized Mean
In mathematics, generalized means (or power mean or Hölder mean from Otto Hölder) are a family of functions for aggregating sets of numbers. These include as special cases the Pythagorean means (arithmetic, geometric, and harmonic means). Definition If is a non-zero real number, and x_1, \dots, x_n are positive real numbers, then the generalized mean or power mean with exponent of these positive real numbers is: M_p(x_1,\dots,x_n) = \left( \frac \sum_^n x_i^p \right)^ . (See -norm). For we set it equal to the geometric mean (which is the limit of means with exponents approaching zero, as proved below): M_0(x_1, \dots, x_n) = \left(\prod_^n x_i\right)^ . Furthermore, for a sequence of positive weights we define the weighted power mean as: M_p(x_1,\dots,x_n) = \left(\frac \right)^ and when , it is equal to the weighted geometric mean: M_0(x_1,\dots,x_n) = \left(\prod_^n x_i^\right)^ . The unweighted means correspond to setting all . Special cases A few particula ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
