Topics on regenerative processes:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton u.a.
CRC Press
1994
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 212 S. graph. Darst. |
| ISBN: | 0849386411 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
PREFACE vii
LIST OF NOTATIONS AND ABBREVIATIONS .... xiii
CHAPTER 1. REGENERATIVE PROCESSES
1.1. Necessary Probabilistic Notions 1
1.2. Reasoning 15
1.3. Basic Definitions 19
1.4. Examples 23
1.5. Imbedded Renewal Process 34
1.6. Stationary Version 42
1.7. Time Averages 50
CHAPTER 2. CROSSING AND COUPLING
2.1. Definitions, Notations, and Preliminary Assertions 55
2.2. Look! This is Simple G2
2.3. Arithmetic Properties of D.F.s 66
2.4. Basic Constructions 76
2.5. Blackwell s Theorem. The Key Renewal Theorem 96
2.6. Crossing and Coupling of Regenerative Processes 101
CHAPTER 3. ERGODICITY AND COMPARISON
3.1. Preliminaries 105
3.2. Probability Metrics 108
3.3. A General Lemma on Convergence Ill
3.4. Ergodic Theorems 116
3.5. Comparison Bounds IIS
CHAPTER 4. FIRST OCCURRENCE TIMES
4.1. Motivation and Useful Relations 127
4.2. Upper and Lower Bounds 132
4.3. Accuracy of the Bounds Ill
4.4. Metric Bounds Ill
4.5. Bounds for d.f. V.(.r) 151
CHAPTER 5. APPLICATIONS
5.1. General Markov Chains 155
5.1.1. Preliminaries 155
5.1.2. Ergodic Theorems 157
5.1.3. Continuity 159
5.1.4. Approximation lt l
5.1.5. Rarity and Exponentiality 165
v
5.2. Queueing Models 166
5.2.1. Discrete Time Case 166
5.2.2. Continuous Time Case 169
5.3. Reliability Models 171
5.3.1. Analytical Estimates 171
5.3.2. Simulation Estimates 178
5.4. Simulation 181
COMMENTARIES 189
REFERENCES 197
INDEX 205
vi
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| any_adam_object | 1 |
| author | Kalašnikov, Vladimir Vjačeslavovič 1942-2001 |
| author_GND | (DE-588)1013229029 |
| author_facet | Kalašnikov, Vladimir Vjačeslavovič 1942-2001 |
| author_role | aut |
| author_sort | Kalašnikov, Vladimir Vjačeslavovič 1942-2001 |
| author_variant | v v k vv vvk |
| building | Verbundindex |
| bvnumber | BV009777386 |
| classification_rvk | SK 820 |
| ctrlnum | (OCoLC)260183357 (DE-599)BVBBV009777386 |
| dewey-full | 519.233 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.233 |
| dewey-search | 519.233 |
| dewey-sort | 3519.233 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV009777386 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:40:42Z |
| institution | BVB |
| isbn | 0849386411 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006469411 |
| oclc_num | 260183357 |
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| physical | XIII, 212 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Kalašnikov, Vladimir Vjačeslavovič 1942-2001 Verfasser (DE-588)1013229029 aut Topics on regenerative processes Vladimir Kalashnikov Boca Raton u.a. CRC Press 1994 XIII, 212 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Markov processes Queuing theory Warteschlangentheorie (DE-588)4255044-0 gnd rswk-swf Regenerativer Prozess (DE-588)4183384-3 gnd rswk-swf Markov-Prozess (DE-588)4134948-9 gnd rswk-swf Erneuerungsprozess (DE-588)4152833-5 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 s Markov-Prozess (DE-588)4134948-9 s DE-604 Regenerativer Prozess (DE-588)4183384-3 s Erneuerungsprozess (DE-588)4152833-5 s DE-188 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006469411&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kalašnikov, Vladimir Vjačeslavovič 1942-2001 Topics on regenerative processes Markov processes Queuing theory Warteschlangentheorie (DE-588)4255044-0 gnd Regenerativer Prozess (DE-588)4183384-3 gnd Markov-Prozess (DE-588)4134948-9 gnd Erneuerungsprozess (DE-588)4152833-5 gnd |
| subject_GND | (DE-588)4255044-0 (DE-588)4183384-3 (DE-588)4134948-9 (DE-588)4152833-5 |
| title | Topics on regenerative processes |
| title_auth | Topics on regenerative processes |
| title_exact_search | Topics on regenerative processes |
| title_full | Topics on regenerative processes Vladimir Kalashnikov |
| title_fullStr | Topics on regenerative processes Vladimir Kalashnikov |
| title_full_unstemmed | Topics on regenerative processes Vladimir Kalashnikov |
| title_short | Topics on regenerative processes |
| title_sort | topics on regenerative processes |
| topic | Markov processes Queuing theory Warteschlangentheorie (DE-588)4255044-0 gnd Regenerativer Prozess (DE-588)4183384-3 gnd Markov-Prozess (DE-588)4134948-9 gnd Erneuerungsprozess (DE-588)4152833-5 gnd |
| topic_facet | Markov processes Queuing theory Warteschlangentheorie Regenerativer Prozess Markov-Prozess Erneuerungsprozess |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006469411&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kalasnikovvladimirvjaceslavovic topicsonregenerativeprocesses |