Titlebook: An Introduction to Order Statistics; Mohammad Ahsanullah,Valery B Nevzorov,Mohammad Sha Textbook 2013 Atlantis Press 2013 Asymptotic Distr

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Adolf-Friedrich Jacob,Gerhard M. F?rsterSome properties of order statistics which characterized the concrete probability distributions are investigated below.

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Representations for Order Statistics,We prove some important relations, which enable us to express order statistics, in terms ofsums or products of independent random variables.

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Conditional Distributions of Order Statistics,The structure of conditional distributions of order statistics is discussed.

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Moments of Order Statistics: General Relations,The main relations are given for moments of order statistics.

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Moment Relations for Order Statistics: Normal Distribution,Below we investigate some useful relations for different moment characteristics of order statistics based on the samples from normal distributions.

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Asymptotic Behavior of the Middle and Intermediate Order Statistics,We begin to study different limit theorems for order statistics. In this chapter we consider the asymptotic distributions for the so-called middle and intermediate order statistics.