Coupling, stationarity, and regeneration:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, [u.a.]
Springer
[2000]
|
| Schriftenreihe: | Probability and its applications
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xiv, 517 Seiten Illustrationen |
| ISBN: | 0387987797 |
Internformat
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| 650 | 4 | |a Random variables | |
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Datensatz im Suchindex
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HERMANN THORISSON COUPLING, STATIONARITY, AND REGENERATION WITH 27
ILLUSTRATIONS SPRINGER CONTENTS PREFACE VII 1 RANDOM VARIABLES 1 1
INTRODUCTION 1 2 THE I.I.D. COUPLING - POSITIVE CORRELATION 2 3 QUANTILE
COUPLING - STOCHASTIC DOMINATION 3 4 COUPLING EVENT - MAXIMAL COUPLING 6
5 POISSON APPROXIMATION - TOTAL VARIATION 11 6 CONVERGENCE OF DISCRETE
RANDOM VARIABLES 15 7 CONTINUOUS VARIABLES - HITTING THE LIMIT 18 8
CONVERGENCE IN DISTRIBUTION AND POINTWISE 21 9 QUANTILE COUPLING -
DOMINATED CONVERGENCE 26 10 IMPOSSIBLE COUPLING - QUANTUM PHYSICS 27 2
MARKOV CHAINS AND RANDOM WALKS 33 1 INTRODUCTION 33 2 CLASSICAL COUPLING
- BIRTH AND DEATH PROCESSES 33 3 CLASSICAL COUPLING - RECURRENT MARKOV
CHAINS 38 4 CLASSICAL COUPLING - RATES AND UNIFORMITY 44 5 ORNSTEIN
COUPLING - RANDOM WALK ON THE INTEGERS 47 6 ORNSTEIN COUPLING -
RECURRENT MARKOV CHAINS 52 7 EPSILON-COUPLING - NONLATTICE RANDOM WALK
57 8 EPSILON-COUPLING - BLACKWELL'S RENEWAL THEOREM 62 9 RENEWAL
PROCESSES - STATIONARITY 68 10 RENEWAL PROCESSES - ASYMPTOTIC
STATIONARITY 72 XII CONTENTS 3 RANDOM ELEMENTS 77 1 INTRODUCTION 77 2
BACK TO BASICS - DEFINITION OF COUPLING 78 3 EXTENSION TECHNIQUES 80 4
CONDITIONING - TRANSFER 86 5 SPLITTING 93 6 RANDOM WALK WITH SPREAD-OUT
STEP-LENGTHS 98 7 COUPLING EVENT - MAXIMAL COUPLING 104 8 MAXIMAL
COUPLING TWO ELEMENTS - TOTAL VARIATION 107 9 HITTING THE LIMIT 113 10
CONVERGENCE IN DISTRIBUTION AND POINTWISE 117 4 STOCHASTIC PROCESSES 125
1 INTRODUCTION 125 2 PRELIMINARIES - WHAT IS A STOCHASTIC PROCESS? 126 3
EXACT COUPLING - DISTRIBUTIONAL EXACT COUPLING 136 4 DISTRIBUTIONAL
COUPLING 140 5 EXACT COUPLING - INEQUALITY AND ASYMPTOTICS 142 6 EXACT
COUPLING - MAXIMALITY 146 7 COUPLING WITH RESPECT TO A SUB-CR-ALGEBRA .
149 8 EXACT COUPLING - ANOTHER PROOF OF THEOREM 6.1 153 9 EXACT COUPLING
- TAIL A- ALGEBRA - EQUIVALENCES 156 5 SHIFT-COUPLING 161 1 INTRODUCTION
161 2 SHIFT-COUPLING - DISTRIBUTIONAL SHIFT-COUPLING 162 3
SHIFT-COUPLING - INEQUALITY AND ASYMPTOTICS 165 4 SHIFT-COUPLING -
MAXIMALITY 169 5 SHIFT-COUPLING - INVARIANT U-ALGEBRA - EQUIVALENCES
. 174 6 E-COUPLING - DISTRIBUTIONAL E-COUPLING 178 7 E-COUPLING -
INEQUALITY AND ASYMPTOTICS 180 8 E-COUPLING - MAXIMALITY 187 9
E-COUPLING - SMOOTH TAIL CR-ALGEBRA - EQUIVALENCES 188 6 MARKOV
PROCESSES 195 1 INTRODUCTION 195 2 MIXING AND TRIVIALITY OF A STOCHASTIC
PROCESS 195 3 MARKOV PROCESSES - PRELIMINARIES 201 4 EXACT COUPLING 204
5 SHIFT-COUPLING 207 6 EPSILON-COUPLING 209 7 STATIONARY MEASURE 213 7
TRANSFORMATION COUPLING 217 1 INTRODUCTION 217 CONTENTS XIII 2
SHIFT-COUPLING RANDOM FIELDS 218 3 TRANSFORMATION COUPLING 222 4
INEQUALITY AND ASYMPTOTICS 225 5 MAXIMALITY 228 6 INVARIANT A- ALGEBRA
AND EQUIVALENCES 231 7 TOPOLOGICAL TRANSFORMATION GROUPS 238 8
SELF-SIMILARITY - EXCHANGEABILITY - ROTATION 241 9 EXACT TRANSFORMATION
COUPLING 244 8 STATIONARITY, THE PALM DUALITIES 249 1 INTRODUCTION 249 2
PRELIMINARIES - MEASURE-FREE PART OF THE DUALITIES 251 3 KEY
STATIONARITY THEOREM 254 4 THE POINT-AT-ZERO DUALITY 258 5
INTERPRETATION - POINT-CONDITIONING 264 6 APPLICATION - PERFECT
SIMULATION 271 7 THE INVARIANT A- ALGEBRAS I AND J 281 8 THE
RANDOMIZED-ORIGIN DUALITY 284 9 INTERPRETATION - CESARO LIMITS AND
SHIFT-COUPLING 288 10 COMMENTS ON THE TWO PALM DUALITIES 290 9 THE PALM
DUALITIES IN HIGHER DIMENSIONS 295 1 INTRODUCTION 295 2 THE
POINT-STATIONARITY PROBLEM 296 3 DEFINITION OF POINT-STATIONARITY 302 4
PALM CHARACTERIZATION OF POINT-STATIONARITY 308 5 POINT-STATIONARITY
CHARACTERIZED BY RANDOMIZATION 317 6 POINT-STATIONARITY AND THE
INVARIANT A- ALGEBRAS 320 7 THE POINT-AT-ZERO DUALITY 323 8 THE
RANDOMIZED-ORIGIN DUALITY 328 9 COMMENTS 335 10 REGENERATION 337 1
INTRODUCTION 337 2 PRELIMINARIES - STATIONARITY 339 3 CLASSICAL
REGENERATION 346 4 WIDE-SENSE REGENERATION - HARRIS CHAINS - GI/GI/K
. 358 5 TIME-INHOMOGENEOUS REGENERATION 372 6 CLASSICAL COUPLING 385
7 THE COUPLING TIME - RATES AND UNIFORMITY 399 8 ASYMPTOTICS
FROM-THE-PAST 422 9 TABOO REGENERATION 436 10 TABOO STATIONARITY 451 11
PERFECT SIMULATION - COUPLING FROM-THE-PAST 467 XIV CONTENTS NOTES 479
REFERENCES 491 INDEX 509 NOTATION 517 |
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| author | Thorisson, Hermann |
| author_GND | (DE-588)135671093X |
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| dewey-sort | 3519.2 221 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| spelling | Thorisson, Hermann (DE-588)135671093X aut Coupling, stationarity, and regeneration Hermann Thorisson New York, [u.a.] Springer [2000] © 2000 xiv, 517 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Probability and its applications Markov-processen gtt Processus stochastiques Stochastische methoden gtt Variables aléatoires Waarschijnlijkheidstheorie gtt Willekeurige variabelen gtt Random variables Stochastic processes Regenerativer Prozess (DE-588)4183384-3 gnd rswk-swf Stationärer Prozess (DE-588)4056989-5 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Coupling-Methode (DE-588)4448042-8 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Stochastischer Prozess (DE-588)4057630-9 s DE-604 Coupling-Methode (DE-588)4448042-8 s Stationärer Prozess (DE-588)4056989-5 s Regenerativer Prozess (DE-588)4183384-3 s HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008621918&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thorisson, Hermann Coupling, stationarity, and regeneration Markov-processen gtt Processus stochastiques Stochastische methoden gtt Variables aléatoires Waarschijnlijkheidstheorie gtt Willekeurige variabelen gtt Random variables Stochastic processes Regenerativer Prozess (DE-588)4183384-3 gnd Stationärer Prozess (DE-588)4056989-5 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Coupling-Methode (DE-588)4448042-8 gnd |
| subject_GND | (DE-588)4183384-3 (DE-588)4056989-5 (DE-588)4057630-9 (DE-588)4064324-4 (DE-588)4448042-8 |
| title | Coupling, stationarity, and regeneration |
| title_auth | Coupling, stationarity, and regeneration |
| title_exact_search | Coupling, stationarity, and regeneration |
| title_full | Coupling, stationarity, and regeneration Hermann Thorisson |
| title_fullStr | Coupling, stationarity, and regeneration Hermann Thorisson |
| title_full_unstemmed | Coupling, stationarity, and regeneration Hermann Thorisson |
| title_short | Coupling, stationarity, and regeneration |
| title_sort | coupling stationarity and regeneration |
| topic | Markov-processen gtt Processus stochastiques Stochastische methoden gtt Variables aléatoires Waarschijnlijkheidstheorie gtt Willekeurige variabelen gtt Random variables Stochastic processes Regenerativer Prozess (DE-588)4183384-3 gnd Stationärer Prozess (DE-588)4056989-5 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Coupling-Methode (DE-588)4448042-8 gnd |
| topic_facet | Markov-processen Processus stochastiques Stochastische methoden Variables aléatoires Waarschijnlijkheidstheorie Willekeurige variabelen Random variables Stochastic processes Regenerativer Prozess Stationärer Prozess Stochastischer Prozess Wahrscheinlichkeitsrechnung Coupling-Methode |
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