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Topic: Chebyshevs inequality

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Pafnuty Chebyshev

Chebyshev polynomials

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1850

	NationMaster - Encyclopedia: Pafnuty Chebyshev
		One of nine children, Chebyshev was born in the village of Okatovo in the district of Borovsk, province of Kaluga.
		Chebyshev's inequality is used to prove the weak law of large numbers.
		Chebyshev is a large lunar crater that lies in the southern hemisphere on the far side of the Moon.
	www.nationmaster.com /encyclopedia/Pafnuty-Chebyshev (2882 words)

	One tailed version of Chebyshev's inequality - by Henry Bottomley
		Chebyshev's Inequalities: one of his own and one from 'Probability and Random Processes', by Grimmett and Stirzaker, published by Oxford Science Publications, ISBN 0 19 853665 8.
		The similarity of the probability values for high k between Chebyshev's inequality and the one-tailed version is slightly misleading, as can be seen when the distribributions which turn the inequalities into equalities are considered, with examples in the chart below.
		The equality distribution for Chebychev's inequality is symmetric, while the equality distribution for the one-tailed version is not.
	www.btinternet.com /~se16/hgb/cheb.htm (1002 words)

	NationMaster - Encyclopedia: Standard deviation
		Chebyshev's inequality proves that in any data set, nearly all of the values will be nearer to the mean value, where the meaning of "close to" is specified by the standard deviation.
		At least 50% of the values are within 1.41 standard deviations from the mean.
		In this diagram, the bars represent observation means and the red lines represent the confidence intervals surrounding them.
	www.nationmaster.com /encyclopedia/standard-deviation (5092 words)

	PlanetMath: Chebyshev's inequality
		See Also: rearrangement inequality, proof of rearrangement inequality, Kolmogorov's inequality, Chebyshev's inequality
		This is version 2 of Chebyshev's inequality, born on 2001-10-17, modified 2006-12-11.
		I think you can remove the condition that at least one of the sequences x_1, x_2,..., x_n and y_1, y_2,..., y_n consists of positive numbers (I didn't use it in my proof, but it might be wrong).
	planetmath.org /encyclopedia/ChebyshevsInequality.html (109 words)

	Course Description Page 5
		Topics include operations with polynomials, solutions of inequalities and linear, quadratic, radical and rational equations, operations with exponents, simplifying expressions and basic concepts of functions.
		Topics include absolute value and inequalities, polynomial, rational, linear, logarithmic, exponential, and trigonometric functions; polar coordinates, solution of triangles, and the conic sections.
		Chebyshevs inequality, regression and multivariate distributions; limit theorems and special distributions, introduction to stochastic processes.
	www.cnrt.scsu.edu /catalog/Course_Descriptions_p5.html (13445 words)

	chebyshevs inequality
		The APSA Task Force on Inequality and American Democracy was established in 2001 to gather what political scientists and other scholars know about solve inequality about the ways in which recent trends in inequalities.
		The UTIP is a research group concerned with measuring and explaining movements of inequality in wages and earnings and patterns of industrial changes around the world.epinet....
		The Center is therefore committed to reducing inequality: the enormous â“ and growing â“ gaps between the richest and poorest countries.
	chebyshevs-inequality.voe.one.pl (964 words)

	Chebyshev's sum inequality
		Another article treats Chebyshev's inequality in probability theory.
		In mathematics, Chebyshev's sum inequality, named after Pafnuty Chebyshev, states that if
		Chebyshev's sum inequality follows from the rearrangement inequality.
	encyclopedia.vestigatio.com /Chebyshev's_sum_inequality (159 words)

	Inequality markovs (Site not responding. Last check: )
		If inequality markovs large inequality markovs payoffs arent allowed, you may come at the regional.
		of bard college mdgs inequality markovs in a particular focus.
		globalization driving inequality, un secretary inequality markovs general for economic inequality markovs and immigration policies for large companies.
	inequality.evenbow.net /inequality-markovs.html (122 words)

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