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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 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.
Differences in accessing social goods within society are influenced by factors like power, religion, kinship, prestige, race, ethnicity, gender, age, sexual orientation, intelligence and class. Social inequality usually implies the lack of equality of outcome, but may alternatively be conceptualized as a lack of equality in access to ...
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 ...
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.
Markov's inequality (and other similar inequalities) relate probabilities to expectations, and provide (frequently loose but still useful) bounds for the cumulative distribution function of a random variable. Markov's inequality can also be used to upper bound the expectation of a non-negative random variable in terms of its distribution function.
Pages in category "Statistical inequalities" The following 24 pages are in this category, out of 24 total. ... Statistics; Cookie statement; Mobile view ...
Because these income inequality metrics are summary statistics that seek to aggregate an entire distribution of incomes into a single index, the information on the measured inequality is reduced. This information reduction of course is the goal of computing inequality measures, as it reduces complexity.