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The bounds these inequalities give on a finite sample are less tight than those the Chebyshev inequality gives for a distribution. To illustrate this let the sample size N = 100 and let k = 3. Chebyshev's inequality states that at most approximately 11.11% of the distribution will lie at least three standard deviations away from the mean.
The ancient Greek philosophers Plato and Aristotle debated economic equality. Painting by Raffaello Sanzio (1509). According to professor of politics Ed Rooksby, the concept of equality of outcome is an important one in disputes between different political positions, since equality has overall been seen as positive and an important concept that is "deeply embedded in the fabric of modern ...
These inequalities are significant for their nearly complete lack of conditional assumptions. For example, for any random variable with finite expectation, the Chebyshev inequality implies that there is at least a 75% probability of an outcome being within two standard deviations of the expected value. However, in special cases the Markov and ...
Social inequality usually implies the lack of equality of outcome, but may alternatively be conceptualized as a lack of equality in access to opportunity. [1] Social inequality is linked to economic inequality, usually described as the basis of the unequal distribution of income or wealth.
According to this theory, inequality may exist and persist between demographic groups even when economic agents are rational. This is distinguished from taste-based discrimination which emphasizes the role of prejudice (sexism, racism, etc.) to explain disparities in labour market outcomes between demographic groups. [2]
"Inside the World Bank's new inequality indicator: The number of countries with high inequality". World Bank. {}: CS1 maint: multiple names: authors list ; Global Peace Index Map of Gini data for 2007–2010; Shadow economies all over the world : new estimates for 162 countries from 1999 to 2007. Friedrich Schneider, Andreas Buehn, Claudio E ...
The Theil index is a statistic primarily used to measure economic inequality [1] and other economic phenomena, though it has also been used to measure racial segregation. [2] [3] The Theil index T T is the same as redundancy in information theory which is the maximum possible entropy of the data minus the observed entropy.
Buildings in Rio de Janeiro, demonstrating economic inequality. Effects of income inequality, researchers have found, include higher rates of health and social problems, and lower rates of social goods, [1] a lower population-wide satisfaction and happiness [2] [3] and even a lower level of economic growth when human capital is neglected for high-end consumption. [4]