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Markov chains: with stationary transition probabilities

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Bibliographic Details
Main Author:	Chung, Kai Lai 1917-2009 (Author)
Format:	Book
Language:	English
Published:	Berlin ; Heidelberg ; New York Springer-Verlag 1967
Edition:	second edition
Series:	Grundlehren der mathematischen Wissenschaften 104
Subjects:	Markov, Processus de Processus de Markov chaîne Markov probabilité processus Markov processus stochastique variable aléatoire Markov-Prozess Markov-Kette Stationärer Prozess
Online Access:	Inhaltsverzeichnis
Item Description:	Hier auch später erschienene, unveränderte Nachdrucke
Physical Description:	X, 301 Seiten

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MARC


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Record in the Search Index

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adam_text	Contents Part I. Discrete Parameter § 1. Fundamental definitions 1 § 2. Transition probabilities 5 § 3. Classification of states 12 § 4. Recurrence 17 § 5- Criteria and examples 21 § 6. The main limit theorem 28 § 7. Various complements 35 § 8. Repetitive pattern and renewal process 41 § 9. Taboo probabilities 45 § 10. The generating function 54 §11. The moments of first entrance time distributions 61 § 12. A random walk example 71 § 13- System theorems 76 § 14. Functionals and associated random variables SI § 15. Ergodic theorems 90 § 16. Further limit theorems 99 § 17. Almost closed and sojourn sets 112 Part II. Continuous Parameter § 1. Transition matrix: basic properties 119 § 2. Standard transition matrix 128 § 3. Differentiability 134 § 4. Definitions and measure-theoretic foundations 140 § 5- The sets of constancy 148 §6. Continuity properties of sample functions 157 §7. Further specifications of the process 160 § 8. Optional random variable 165 § 9. Strong Markov property 172 § 10. Classification of states 1S2 § 11. Taboo probability functions 187 § 12. Last exit time 197 §13. Ratio limit theorems; discrete approximations 212 § 14. Functionals 224 § 15. Post-exit process 230 § 16. Imbedded renewal process 230 §17. The two systems of differential equations 245 § 18. The minimal solution 251 § 19. The first infinity 257 § 20. Examples 272 Bibliography 292 Index 20S
any_adam_object	1
author	Chung, Kai Lai 1917-2009
author_GND	(DE-588)136125484
author_facet	Chung, Kai Lai 1917-2009
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discipline	Mathematik Wirtschaftswissenschaften
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indexdate	2024-07-09T15:43:13Z
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language	English
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physical	X, 301 Seiten
publishDate	1967
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series	Grundlehren der mathematischen Wissenschaften
series2	Grundlehren der mathematischen Wissenschaften
spelling	Chung, Kai Lai 1917-2009 (DE-588)136125484 aut Markov chains with stationary transition probabilities Kai Lai Chung ; Professor of Mathematics at Stanford Universit (U.S.A.) second edition Berlin ; Heidelberg ; New York Springer-Verlag 1967 X, 301 Seiten txt rdacontent n rdamedia nc rdacarrier Grundlehren der mathematischen Wissenschaften 104 Hier auch später erschienene, unveränderte Nachdrucke Markov, Processus de ram Processus de Markov chaîne Markov inriac probabilité inriac processus Markov inriac processus stochastique inriac variable aléatoire inriac Markov-Prozess (DE-588)4134948-9 gnd rswk-swf Markov-Kette (DE-588)4037612-6 gnd rswk-swf Stationärer Prozess (DE-588)4056989-5 gnd rswk-swf Markov-Kette (DE-588)4037612-6 s DE-604 Stationärer Prozess (DE-588)4056989-5 s Markov-Prozess (DE-588)4134948-9 s Grundlehren der mathematischen Wissenschaften 104 (DE-604)BV000000395 104 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001495647&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Chung, Kai Lai 1917-2009 Markov chains with stationary transition probabilities Grundlehren der mathematischen Wissenschaften Markov, Processus de ram Processus de Markov chaîne Markov inriac probabilité inriac processus Markov inriac processus stochastique inriac variable aléatoire inriac Markov-Prozess (DE-588)4134948-9 gnd Markov-Kette (DE-588)4037612-6 gnd Stationärer Prozess (DE-588)4056989-5 gnd
subject_GND	(DE-588)4134948-9 (DE-588)4037612-6 (DE-588)4056989-5
title	Markov chains with stationary transition probabilities
title_auth	Markov chains with stationary transition probabilities
title_exact_search	Markov chains with stationary transition probabilities
title_full	Markov chains with stationary transition probabilities Kai Lai Chung ; Professor of Mathematics at Stanford Universit (U.S.A.)
title_fullStr	Markov chains with stationary transition probabilities Kai Lai Chung ; Professor of Mathematics at Stanford Universit (U.S.A.)
title_full_unstemmed	Markov chains with stationary transition probabilities Kai Lai Chung ; Professor of Mathematics at Stanford Universit (U.S.A.)
title_short	Markov chains
title_sort	markov chains with stationary transition probabilities
title_sub	with stationary transition probabilities
topic	Markov, Processus de ram Processus de Markov chaîne Markov inriac probabilité inriac processus Markov inriac processus stochastique inriac variable aléatoire inriac Markov-Prozess (DE-588)4134948-9 gnd Markov-Kette (DE-588)4037612-6 gnd Stationärer Prozess (DE-588)4056989-5 gnd
topic_facet	Markov, Processus de Processus de Markov chaîne Markov probabilité processus Markov processus stochastique variable aléatoire Markov-Prozess Markov-Kette Stationärer Prozess
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001495647&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000000395
work_keys_str_mv	AT chungkailai markovchainswithstationarytransitionprobabilities

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