An Introduction to Order Statistics

Author:   Mohammad Ahsanullah ,  Valery B Nevzorov ,  Mohammad Shakil
Publisher:   Atlantis Press (Zeger Karssen)
Edition:   2013 ed.
Volume:   3
ISBN:  

9789462390485


Pages:   244
Publication Date:   08 February 2015
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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An Introduction to Order Statistics


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Author:   Mohammad Ahsanullah ,  Valery B Nevzorov ,  Mohammad Shakil
Publisher:   Atlantis Press (Zeger Karssen)
Imprint:   Atlantis Press (Zeger Karssen)
Edition:   2013 ed.
Volume:   3
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   3.927kg
ISBN:  

9789462390485


ISBN 10:   9462390487
Pages:   244
Publication Date:   08 February 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.

Reviews

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)


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)


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