Products of random variables: applications to problems of physics and to arithmetical functions
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Marcel Dekker
2004
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| Series: | Pure and applied mathematics
268 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 323 S. |
| ISBN: | 0824754026 |
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Record in the Search Index
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|---|---|
| adam_text | PRODUCTS OF RANDOM VARIABLES APPLICATIONS TO PROBLEMS OF PHYSICS AND TO
ARITHMETICAL FUNCTIONS JANOS GALAMBOS TEMPLE UNIVERSITY PHILADELPHIA,
PENNSYLVANIA, U.S.A. ITALO SIMONELLI TEXAS A&M UNIVERSITY COMMERCE,
TEXAS, U.S.A. MARCEL MARCEL DEKKER, INC. NEW YORK * BASEL DEKKER
CONTENTS PREFACE III 1 FOUNDATIONS 1 1.1 BASIC CONCEPTS AND NOTATION 1
1.1.1 EVENTS AND PROBABILITY 1 1.1.2 RANDOM VARIABLES 3 1.1.3 WEAK
CONVERGENCE; CHARACTERISTIC FUNCTIONS . . 6 1.1.4 CONVERGENCE IN
PROBABILITY AND ALMOST SURE CON- VERGENCE 8 1.2 ELEMENTARY FORMULAS FOR
PRODUCTS 11 1.3 MELLIN TRANSFORM 15 1.4 SYMMETRIC DISTRIBUTIONS 26 1.5
BONFERRONI-TYPE INEQUALITIES 39 1.6 LIMITING DISTRIBUTION OF PRODUCTS 45
2 LIMIT THEOREMS 55 2.1 LOGARITHMICALLY POISSON DISTRIBUTIONS 55 2.2 THE
CLASS OF /^-DISTRIBUTIONS FOR PRODUCTS 58 2.3 ABSOLUTE CONVERGENCE OF
PRODUCTS 62 2.4 CONDITIONAL DISTRIBUTIONS FOR PRODUCTS 70 2.5 TRIANGULAR
ARRAYS 79 2.6 I.I.D. RANDOM VARIABLES 100 2.7 ORDER STATISTICS AS
PRODUCTS 103 3 CHARACTERIZATION 111 3.1 GENERAL DESCRIPTION OF
CHARACTERIZATION ILL 3.2 THE CAUCHY FUNCTIONAL EQUATION 114 3.3
CHARACTERIZATIONS BY DECOMPOSITIONS 120 3.4 NORMAL AND CAUCHY
DISTRIBUTIONS 135 VI CONTENTS 3.5 THE NORMAL DISTRIBUTION 139 3.6
BIVARIATE DISTRIBUTIONS 147 4 INTERACTING PARTICLES 155 4.1 INTRODUCTION
155 4.2 MODELS AND DUAL SYSTEMS 157 4.3 IPS WITH DUAL OF INCREASING SIZE
167 4.4 RANDOM WALKS 188 5 ARITHMETICAL FUNCTIONS 199 5.1 INTRODUCTION
199 5.2 THE KUBILIUS-TURAN INEQUALITY 204 5.3 A THEOREM OF BAKSTYS 213
5.4 DISTRIBUTION OF MULTIPLICATIVE FUNCTIONS 230 5.5 VARIANTS OF A
CONJECTURE OF ERDOS 241 5.6 SEQUENCES OF PRIME DIVISORS 243 6
MISCELLANEOUS RESULTS 249 6.1 BINARY VARIABLES 249 6.2 THE SIGN OF A
PRODUCT AND MARKOV CHAINS 253 6.3 SEQUENCES OF THE 1 PRIME NUMBERS 257
6.4 HILBERT SPACES 260 6.5 APPLIED MODELS WITH PRODUCTS 267 6.5.1 MODELS
RELATED TO INCOME 267 6.5.2 MULTIPLYING OBSERVATIONS FOR SMOOTHING ....
271 6.5.3 ESTIMATION FOR THE PARETO DISTRIBUTION . . . . . 273 6.5.4
PRODUCTS OF BETA RANDOM VARIABLES 274 6.5.5 PRODUCTS OF GAMMA RANDOM
VARIABLES 282 6.5.6 RANDOM DISCRIMINANTS 284 6.5.7 NORMALIZED PRODUCTS
OF SUMS 286 6.5.8 DISTRIBUTION OF PRODUCTS OF ORDER STATISTICS . . .288
6.5.9 CHARACTERIZATION OF UNIMODALITY VIA PRODUCTS . 293 6.6 QUOTIENTS
OF RANDOM VARIABLES 295 BIBLIOGRAPHY 303 AUTHOR INDEX 317 SUBJECT INDEX
. 321
|
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| callnumber-subject | QA - Mathematics |
| classification_rvk | QH 170 SK 800 |
| classification_tum | PHY 015f MAT 600f |
| ctrlnum | (OCoLC)56338637 (DE-599)BVBBV019836897 |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik Wirtschaftswissenschaften |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:07:15Z |
| institution | BVB |
| isbn | 0824754026 |
| language | English |
| lccn | 2004302423 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013161873 |
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| physical | VI, 323 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Marcel Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Galambos, János 1940-2019 Verfasser (DE-588)108371271 aut Products of random variables applications to problems of physics and to arithmetical functions Janos Galambos ; Italo Simonelli New York [u.a.] Marcel Dekker 2004 VI, 323 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 268 Probabilités Random walks (statistiek) gtt Variables aléatoires Probabilities Random variables Zufallsvariable (DE-588)4129514-6 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Zufallsvariable (DE-588)4129514-6 s DE-604 Simonelli, Italo Sonstige oth Pure and applied mathematics 268 (DE-604)BV000001885 268 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013161873&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Galambos, János 1940-2019 Products of random variables applications to problems of physics and to arithmetical functions Pure and applied mathematics Probabilités Random walks (statistiek) gtt Variables aléatoires Probabilities Random variables Zufallsvariable (DE-588)4129514-6 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| subject_GND | (DE-588)4129514-6 (DE-588)4064324-4 |
| title | Products of random variables applications to problems of physics and to arithmetical functions |
| title_auth | Products of random variables applications to problems of physics and to arithmetical functions |
| title_exact_search | Products of random variables applications to problems of physics and to arithmetical functions |
| title_full | Products of random variables applications to problems of physics and to arithmetical functions Janos Galambos ; Italo Simonelli |
| title_fullStr | Products of random variables applications to problems of physics and to arithmetical functions Janos Galambos ; Italo Simonelli |
| title_full_unstemmed | Products of random variables applications to problems of physics and to arithmetical functions Janos Galambos ; Italo Simonelli |
| title_short | Products of random variables |
| title_sort | products of random variables applications to problems of physics and to arithmetical functions |
| title_sub | applications to problems of physics and to arithmetical functions |
| topic | Probabilités Random walks (statistiek) gtt Variables aléatoires Probabilities Random variables Zufallsvariable (DE-588)4129514-6 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| topic_facet | Probabilités Random walks (statistiek) Variables aléatoires Probabilities Random variables Zufallsvariable Wahrscheinlichkeitsrechnung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013161873&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
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