Relations, Bounds and Approximations for Order Statistics

Name: Relations, Bounds and Approximations for Order Statistics
Brand: Springer-Verlag New York Inc.
SKU: 9780387969756
Price: 276.01 RON
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Autor: Narayanaswamy Balakrishnan

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Editura: Springer-Verlag New York Inc.

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Bounds on moments of order statistics have been of interest since Sir Francis Galton (1902) flrst ad...

Informații despre carte

Autor

Narayanaswamy Balakrishnan

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

1989

Pagini

173

EAN

9780387969756

ISBN

9780387969756

Enbook ID

06624245

Editura

Springer-Verlag New York Inc.

Greutate

335

Dimensiuni

170 x 244 x 11

Descriere completă

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. Results for normal population 17 20 2. 6. Results for two related populations 2. 7. Results for exchangeable variates 23 25 Exercises Chapter 3: BOUNDS ON EXPECTATIONS OF ORDER STATISTICS 3. 0. Introduction 38 3. 1. Universal bounds in the Li. d. case 38 3. 2. Variations on the Samuelson-Scott theme 43 3. 3.

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Relations, Bounds and Approximations for Order Statistics

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