Markov's Inequality : Probability Theory, Upper Bound, Probability, Negative and Non-Negative Numbers, Function (Mathematics), Random Variable, Constant (Mathematics)

Language: English

Published by Omniscriptum, 2010

6131777276 / 9786131777271

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nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In probabilitytheory, Markov's inequality gives an upper bound for the probabilitythat a non-negative function of a random variable is greater than orequal to some positive constant. It is named after the Russianmathematician Andrey Markov, although it appeared earlier in the work ofPafnuty Chebyshev (Markov's teacher), and many sources, especially inanalysis, refer to it as Chebychev's inequality or Bienaymé'sinequality. Markov's inequality (and other similar inequalities) relateprobabilities to expectations, and provide (frequently) loose but stilluseful bounds for the cumulative distribution function of a randomvariable. An example of an application of Markov's inequality is thefact that (assuming incomes are non-negative) no more than 1/5th of thepopulation can have more than 5 times the average income.

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Title
Markov's Inequality : Probability Theory, Upper Bound, Probability, Negative and Non-Negative Numbers, Function (Mathematics), Random Variable, Constant (Mathematics)
Author
Agnes F. Vandome
Publisher
Omniscriptum
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
6131777276
ISBN 13
9786131777271
Item weight
155 grams
Dimensions
220x150x6 mm

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