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＜電子ブック＞
An Introduction to Order Statistics / by Mohammad Ahsanullah, Valery B Nevzorov, Mohammad Shakil
(Atlantis Studies in Probability and Statistics. ISSN:18796907)

版	1st ed. 2013.
出版者	(Paris : Atlantis Press : Imprint: Atlantis Press)
出版年	2013
本文言語	英語
大きさ	X, 246 p : online resource
著者標目	*Ahsanullah, Mohammad author Nevzorov, Valery B author Shakil, Mohammad author SpringerLink (Online service)
件　名	LCSH:Statistics  LCSH:Econometrics LCSH:Biometry FREE:Statistical Theory and Methods FREE:Statistics in Business, Management, Economics, Finance, Insurance FREE:Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences FREE:Statistics FREE:Econometrics FREE:Biostatistics
一般注記	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 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 knowledge with certain details. This is achieved by, on the one hand, stating the basic formulae and providing many useful examples to illustrate the theoretical statements, while on the other hand an upgraded list of references will make it easier to gain insight into more specialized results. Thus this book is suitable for a readership working in statistics, actuarial mathematics, reliability engineering, meteorology, hydrology, business economics, sports analysis and many more HTTP:URL=https://doi.org/10.2991/978-94-91216-83-1

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