Introduction to order statistics / Mohammad Ahsanullah, Valery B. Nevzorov and Mohammad Shakil.
Material type:
TextSeries: Atlantis studies in probability and statistics ; V 3Publication details: Amsterdam : Atlantis Press, 2013.Description: x, 244 pISBN: - 9789491216824
- 23 Ah287 000SA.15
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 000SA.15 Ah287 (Browse shelf(Opens below)) | Available | 135456 |
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| 000SA.14 K64 Handbook of survival analysis / | 000SA.14 Z63 Empirical likelihood method in survival analysis / | 000SA.1=459 Inference statistical pentru variable dependente | 000SA.15 Ah287 Introduction to order statistics / | 000SA.15 Ah287 Records via probability theory / | 000SA.15 SCS 61.4 Order statistics and nonparametric methods | 000SA.15 SCS 61.4 Order statistics and nonparametric methods |
Includes bibliographical references and index.
1. Basic definitions --
2. Distributions of order statistics --
3. Sample quantiles and ranges --
4. Representations for order statistics --
5. Conditional distributions of order statistics--
6. Order statistics for discrete distributions --
7. Moments of order statistics: general relations --
8. Moments of uniform and exponential order statistics --
9. Moment relations for order statistics: normal distribution --
10. Asymptotic behavior of the middle and intermediate order statistics --
11. Asymptotic behavior of the extreme order statistics --
12. Some properties of estimators based on order statistics --
13. Minimum variance linear unbiased estimators --
14. Minimum variance linear unbiased estimators and predictors based on censored samples --
15. Estimation of parameters based on fixed number of sample quantiles --
16. Order statistics from extended samples --
17. Order statistics and record values --
18. Characterizations of distributions based on properties of order statistics --
19. Order statistics and record values based on F[alpha] distributions --
20. Generalized order statistics --
21. Compliments and problems--
Bibliography--
Index.
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.
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