An introduction to order statistics
A lot of statisticians, actuarial mathematicians, reliability engineers, meteorologists, hydrologists, economists. Business and sport analysts deal with order statistics which play an important role in various fields of statistics and its application. This book enables a reader to check his/her leve...
| Main Author: | Ahsanullah, Mohammad. |
|---|---|
| Other Authors: | Nevzorov, V. B. 1946-, Shakil, Mohammad (Professor of mathematics), SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
Amsterdam :
Atlantis Press,
©2013.
Amsterdam : [2013] |
| Physical Description: |
1 online resource. |
| Series: |
Atlantis studies in probability and statistics ;
v. 3. |
| Subjects: |
| Summary: |
A lot of statisticians, actuarial mathematicians, reliability engineers, meteorologists, hydrologists, economists. Business and sport analysts deal with order statistics which play an important role in various fields of statistics and its application. This book enables a reader to check his/her level of understanding of the theory of order statistics. We give basic formulae which are more important in the theory and present a lot of examples which illustrate the theoretical statements. For a beginner in order statistics, as well as for graduate students it study our book to have the basic knowledge of the subject. A more advanced reader can use our book to polish his/her knowledge . An upgraded list of bibliography which will help a reader to enrich his/her theoretical knowledge and widen the experience of dealing with ordered observations, is also given in the book. |
|---|---|
| Item Description: |
Includes bibliographical references and index. 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 F[alpha] distributions -- Generalized order statistics -- Compliments and problems. A lot of statisticians, actuarial mathematicians, reliability engineers, meteorologists, hydrologists, economists. Business and sport analysts deal with order statistics which play an important role in various fields of statistics and its application. This book enables a reader to check his/her level of understanding of the theory of order statistics. We give basic formulae which are more important in the theory and present a lot of examples which illustrate the theoretical statements. For a beginner in order statistics, as well as for graduate students it study our book to have the basic knowledge of the subject. A more advanced reader can use our book to polish his/her knowledge . An upgraded list of bibliography which will help a reader to enrich his/her theoretical knowledge and widen the experience of dealing with ordered observations, is also given in the book. |
| Physical Description: |
1 online resource. |
| Bibliography: |
Includes bibliographical references and index. |
| ISBN: |
9789491216831 949121683X 9491216821 9789491216824 |
| ISSN: |
1879-6893 ; |