Relations, Bounds and Approximations for Order Statistics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1989
|
| Schriftenreihe: | Lecture Notes in Statistics
53 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (IX, 173p) |
| ISBN: | 9781461236443 9780387969756 |
| ISSN: | 0930-0325 |
| DOI: | 10.1007/978-1-4612-3644-3 |
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Datensatz im Suchindex
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-3644-3 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
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| institution | BVB |
| isbn | 9781461236443 9780387969756 |
| issn | 0930-0325 |
| language | English |
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| spelling | Arnold, Barry C. Verfasser aut Relations, Bounds and Approximations for Order Statistics by Barry C. Arnold, Narayanaswamy Balakrishnan New York, NY Springer New York 1989 1 Online-Ressource (IX, 173p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Statistics 53 0930-0325 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 Statistics Statistics, general Statistik Ordnungsstatistik (DE-588)4212486-4 gnd rswk-swf Ordnungsstatistik (DE-588)4212486-4 s 1\p DE-604 Balakrishnan, Narayanaswamy Sonstige oth https://doi.org/10.1007/978-1-4612-3644-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Arnold, Barry C. Relations, Bounds and Approximations for Order Statistics Statistics Statistics, general Statistik Ordnungsstatistik (DE-588)4212486-4 gnd |
| subject_GND | (DE-588)4212486-4 |
| title | Relations, Bounds and Approximations for Order Statistics |
| title_auth | Relations, Bounds and Approximations for Order Statistics |
| title_exact_search | Relations, Bounds and Approximations for Order Statistics |
| title_full | Relations, Bounds and Approximations for Order Statistics by Barry C. Arnold, Narayanaswamy Balakrishnan |
| title_fullStr | Relations, Bounds and Approximations for Order Statistics by Barry C. Arnold, Narayanaswamy Balakrishnan |
| title_full_unstemmed | Relations, Bounds and Approximations for Order Statistics by Barry C. Arnold, Narayanaswamy Balakrishnan |
| title_short | Relations, Bounds and Approximations for Order Statistics |
| title_sort | relations bounds and approximations for order statistics |
| topic | Statistics Statistics, general Statistik Ordnungsstatistik (DE-588)4212486-4 gnd |
| topic_facet | Statistics Statistics, general Statistik Ordnungsstatistik |
| url | https://doi.org/10.1007/978-1-4612-3644-3 |
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