An Introduction to Order Statistics: Atlantis Studies in Probability and Statistics, cartea 3
Autor Mohammad Ahsanullah, Valery B Nevzorov, Mohammad Shakilen Limba Engleză Hardback – 26 mar 2013
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Specificații
ISBN-13: 9789491216824
ISBN-10: 9491216821
Pagini: 256
Ilustrații: X, 244 p.
Dimensiuni: 160 x 241 x 20 mm
Greutate: 0.55 kg
Ediția:2013
Editura: ATLANTIS PRESS
Colecția Atlantis Studies in Probability and Statistics
Seria Atlantis Studies in Probability and Statistics
Locul publicării:Paris, Netherlands
ISBN-10: 9491216821
Pagini: 256
Ilustrații: X, 244 p.
Dimensiuni: 160 x 241 x 20 mm
Greutate: 0.55 kg
Ediția:2013
Editura: ATLANTIS PRESS
Colecția Atlantis Studies in Probability and Statistics
Seria Atlantis Studies in Probability and Statistics
Locul publicării:Paris, Netherlands
Public țintă
Upper undergraduateCuprins
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.
Recenzii
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)
“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)
Caracteristici
Providing the basic theory of order statistics at an easily approachable level A unique resource also for special results and applications Suitable for advanced undergraduates and first year graduates Includes supplementary material: sn.pub/extras