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Titlebook: Relations, Bounds and Approximations for Order Statistics; Barry C. Arnold,Narayanaswamy Balakrishnan Book 1989 Springer-Verlag Berlin Hei

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書目名稱Relations, Bounds and Approximations for Order Statistics
編輯Barry C. Arnold,Narayanaswamy Balakrishnan
視頻videohttp://file.papertrans.cn/827/826156/826156.mp4
叢書名稱Lecture Notes in Statistics
圖書封面Titlebook: Relations, Bounds and Approximations for Order Statistics;  Barry C. Arnold,Narayanaswamy Balakrishnan Book 1989 Springer-Verlag Berlin Hei
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
關鍵詞Area; Maxima; Variance; approximation; behavior; computation; control; development; distribution; form; functi
版次1
doihttps://doi.org/10.1007/978-1-4612-3644-3
isbn_softcover978-0-387-96975-6
isbn_ebook978-1-4612-3644-3Series ISSN 0930-0325 Series E-ISSN 2197-7186
issn_series 0930-0325
copyrightSpringer-Verlag Berlin Heidelberg 1989
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Approximations to Moments of Order Statistics,oximating these moments of order statistics from an arbitrary continuous distribution. First of all, we study the order statistics from a uniform distribution in detail in Section 1 and derive exact and explicit expressions for the single and the product moments. Then, as first noted by K. Pearson a
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Order Statistics from a Sample Containing a Single Outlier,David and Shu (1978), and have been made use of by David et al. (1977) in tabulating means, variances and covariances of order statistics from a normal sample comprising one outlier. One may also refer to Vaughan and Venables (1972) for more general expressions of distributions of order statistics w
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Record Values,lues and order statistics was recognized and exploited. It is consequently not surprising that many of the results of Chapters 1 through 4 have parallels relating to expectations of record values. We begin by defining the concept of record values.
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Book 1989econd 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 inevitabl
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