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 -