An Introduction to Order Statistics

A lot of statisticians, actuarial mathematicians , reliability engineers, meteorologists, hydrologists, economists. Business and sport analysts deal with order statistics which play an important role in various fields of statistics and its application. This book enables a reader to check his/her lev...

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Détails bibliographiques
Auteurs principaux: Ahsanullah, Mohammad, Nevzorov, Valery B. (Auteur), Shakil, Mohammad (Auteur)
Format: Livre numérique
Langue:Anglais
Publié: Paris : Atlantis Press 2013.
Cham : Springer Nature
Collection:Atlantis Studies in Probability and Statistics
Accès en ligne:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Note: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• An Introduction to Order Statistics, Texte imprimé, 9789462390485
• An Introduction to Order Statistics, Texte imprimé, 9789491216848
• An introduction to order statistics, Mohammad Ahsanullah, Valery B. Nevzorov, Mohammad Shakil, Amsterdam, Atlantis Press, 2013, 1 vol. (X-244 p.), Atlantis studies in probability and statistics, 94-91216-82-1
Table des matières:
  • 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 Fa distributions
  • Generalized order statistics
  • Compliments and problems.