TY  - BOOK
AU  - Ahsanullah, Mohammad.
AU  - Nevzorov, Valery B.
AU  - Shakil, Mohammad.
TI  - Introduction to order statistics
T2  - Atlantis studies in probability and statistics
SN  - 9789491216824
U1  - 000SA.15 23
PY  - 2013///
CY  - Amsterdam
PB  - Atlantis Press
KW  - Order statistics.
KW  - Statistics.
KW  - Statistical methods.
N1  - 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
N2  - 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
ER  -