An Introduction to Order Statistics

This book presents the theory of order statistics in a way, such that beginners can get easily acquainted with the very basis of the theory without having to work through heavily involved techniques. At the same time more experienced readers can check their level of understanding and polish their kn...

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Bibliographic Details
Main Authors: Ahsanullah, Mohammad, Nevzorov, Valery B. (Author), Shakil, Mohammad (Author)
Format: eBook
Published: Paris Atlantis Press 2013, 2013
Edition:1st ed. 2013
Series:Atlantis Studies in Probability and Statistics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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