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An Introduction to Order Statistics

Previously published in hardcover
BuchKartoniert, Paperback
244 Seiten
Englisch
Springererschienen am08.02.20152013
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.mehr
Verfügbare Formate
BuchGebunden
EUR53,49
BuchKartoniert, Paperback
EUR53,49
E-BookPDF1 - PDF WatermarkE-Book
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Produkt

KlappentextThis 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.
Details
ISBN/GTIN978-94-6239-048-5
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2015
Erscheinungsdatum08.02.2015
Auflage2013
ReiheAtlantis Studies in Probability and Statistics
Seiten244 Seiten
SpracheEnglisch
Gewicht394 g
IllustrationenX, 244 p.
Artikel-Nr.15562007

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr
Kritik
From the reviews:
"The theory is grouped in 21 chapters, in an interesting presentation. Thus, each chapter begins with a short exposition of the basic definitions and fundamental results corresponding to the studied problem; then, the readers are urged to solve a lot of exercises. ... The readers can find detailed solutions at the end of each chapter. These solutions are carefully written and filled with suitable remarks. ... The reading of the book is pleasant." (Eugen Paltanea, zbMATH, Vol. 1276, 2014)mehr

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