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Chebyshev's inequality locates a certain fraction of the data within certain bounds, while Samuelson's inequality locates all the data points within certain bounds. The bounds given by Chebyshev's inequality are unaffected by the number of data points, while for Samuelson's inequality the bounds loosen as the sample size increases.
In probability theory and theoretical computer science, McDiarmid's inequality (named after Colin McDiarmid [1]) is a concentration inequality which bounds the deviation between the sampled value and the expected value of certain functions when they are evaluated on independent random variables.
Global share of wealth by wealth group, Credit Suisse, 2021 Share of income of the top 1% for selected developed countries, 1975 to 2015. Economic inequality is an umbrella term for a) income inequality or distribution of income (how the total sum of money paid to people is distributed among them), b) wealth inequality or distribution of wealth (how the total sum of wealth owned by people is ...
A central premise is that "social systems generate inequality, which is manifested over the life course via demographic and developmental processes." [2] Cumulative inequality and cumulative advantage/disadvantage (CAD) are two different but interrelated theories. Cumulative inequality has drawn from various theoretical traditions, including CAD.
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.
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 ...
The Vysochanskij–Petunin inequality generalizes Gauss's inequality, which only holds for deviation from the mode of a unimodal distribution, to deviation from the mean, or more generally, any center. [42] If X is a unimodal distribution with mean μ and variance σ 2, then the inequality states that
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]