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

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楼主: TINGE
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Asymptotic Behavior of the Extreme Order Statistics,We continue to study the asymptotic properties of order statistics. Below the asymptotic behavior of extreme order statistics are under investigation.
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Estimation of Parameters Based on Fixed Number of Sample Quantiles,We continue to investigate best (in the sense of minimum variance) unbiased estimators of the location and scale parameters. In this chapter MVLUEs, based on some fixed order statistics, are discussed.
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Order Statistics from Extended Samples,Sometimes besides order statistics X.,…,X. a statistician may additionally use some order statistics, which are chosen from a variational series X. ≤···≤ X.. We investigate independence properties of differences X. – X. in the case, when the initial distribution is exponential.
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Order Statistics and Record Values,The theory of records is tied very closely with the theory of extreme order statistics. The definitions and different properties of record indicators, record times and record values are given here.
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Characterizations of Distributions Based on Properties of Order Statistics,Some properties of order statistics which characterized the concrete probability distributions are investigated below.
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