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Atlantis Press
An Introduction to Order Statistics / Edition 1

An Introduction to Order Statistics / Edition 1


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Product Details

ISBN-13: 9789491216824
Publisher: Atlantis Press
Publication date: 03/13/2013
Series: Atlantis Studies in Probability and Statistics , #3
Edition description: 2013
Pages: 244
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Basic definitions.- Distributions of order statistics.- Sample quantiles and ranges.- Representations for order statistics.- Conditional distributions of order statistics.-Order statistics for discrete distributions.- Moments of order statistics: general relations.- Moments of uniform and exponential order statistics.- Moment relations for order statistics: normal distribution.- Asymptotic behavior of the middle and intermediate order statistics.- Asymptotic behavior of the extreme order statistics.- Some properties of estimators based on order statistics.- Minimum variance linear unbiased estimators.- Minimum variance linear unbiased estimators and predictors based on censored samples.- Estimation of parameters based on fixed number of sample quantiles.- Order statistics from extended samples.- Order statistics and record values.- Characterizations of distributions based on properties of order statistics.- Order statistics and record values based on Fα distributions.- Generalized order statistics.- Compliments and problems.

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