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An Introduction to Order Statistics
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Catalogue Information
Field name
Details
Dewey Class
519.5
Title
An Introduction to Order Statistics ([Ebook]) / by Mohammad Ahsanullah, Valery B Nevzorov, Mohammad Shakil.
Author
Ahsanullah, Mohammad
Added Personal Name
Nevzorov, Valery B.
Shakil, Mohammad
Other name(s)
SpringerLink (Online service)
Publication
Paris : Atlantis Press
, 2013.
Physical Details
X, 244 pages. : online resource.
Series
Atlantis Studies in Probability and Statistics
1879-6893 ; ; 3
ISBN
9789491216831
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.2991/978-94-91216-83-1
Links to Related Works
Subject References:
Biostatistics
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Econometrics
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Economics
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Mathematical Statistics
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Statistical methods
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Statistical Theory and Methods
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Statistics
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Statistics for Business/Economics/Mathematical Finance/Insurance
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Authors:
Ahsanullah, Mohammad
.
author
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Nevzorov, Valery B.
.
Shakil, Mohammad
.
Corporate Authors:
SpringerLink (Online service)
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Series:
Atlantis Studies in Probability and Statistics
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Classification:
519.5
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519.5 (DDC 23)
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