书目名称 | Relations, Bounds and Approximations for Order Statistics | 编辑 | Barry C. Arnold,Narayanaswamy Balakrishnan | 视频video | | 丛书名称 | Lecture Notes in Statistics | 图书封面 |  | 描述 | Bounds on moments of order statistics have been of interest since Sir Francis Galton (1902) flrst addressed the problem of fairly dividing flrst and second prize money in a competition. The present compendium of results represents our effort to sort the plethora of results into some semblance of order. We have tried to assign priority for results appropriately. We will cheerfully accept corrections. Omissions of interesting results have inevitably occurred. On this too we await (cheerful) corrections. We are grateful to Peggy Franklin (University of California), Janet Leach, Domenica Calabria and Patsy Chan (McMaster University) who shared the responsibility of typing the manuscript. The flnal form of the manuscript owes much to their skill and patience. Barry C. Arnold Riverside, California U. S. A. N. Balakrishnan Hamilton, Ontario Canada November, 1988 Table of Contents Chapter 1: TIlE DISTRIBUTION OF ORDER STATISTICS Exercises 4 Chapter 2: RECURRENCE RELATIONS AND IDENTITIES FOR ORDER STATISTICS 2. 0. Introduction 5 2. 1. Relations for single moments 6 2. 2. Relations for product moments 9 2. 3. Relations for covariances 13 15 2. 4. Results for symmetric populations 2. 5. Resul | 出版日期 | Book 1989 | 关键词 | Area; Maxima; Variance; approximation; behavior; computation; control; development; distribution; form; functi | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4612-3644-3 | isbn_softcover | 978-0-387-96975-6 | isbn_ebook | 978-1-4612-3644-3Series ISSN 0930-0325 Series E-ISSN 2197-7186 | issn_series | 0930-0325 | copyright | Springer-Verlag Berlin Heidelberg 1989 |
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