Distribution theory of runs and patterns and its applications: a finite Markov chain imbedding approach
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
River Edge, NJ [u.a.]
World Scientific
2003
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 162 S. graph. Darst. |
| ISBN: | 9810245874 |
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Record in the Search Index
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| adam_text | DISTRIBUTION THEORY OF RUNS AND PATTERNS AND ITS APPLICATIONS A FINITE
MARKOV CHAIN IMBEDDING APPROACH JAMES C. FU UNIVERSITY OF MANITOBA,
CANADA W. Y WENDY LOU UNIVERSITY OF TORONTO, CANADA WORLD SCIENTIFIC NEW
JERSEY * LONDON * SINGAPORE * HONG KONG CONTENTS CHAPTER 1 INTRODUCTION
1 CHAPTER 2 FINITE MARKOV CHAIN IMBEDDING 5 2.1 FINITE MARKOV CHAIN 5
2.2 CHAPMAN-KOLMOGOROV EQUATION 8 2.3 TREE-STRUCTURED MARKOV CHAIN 9 2.4
RUNS AND PATTERNS 10 2.5 FINITE MARKOV CHAIN IMBEDDING 13 2.6 ABSORBING
STATE 18 2.7 FIRST-ENTRY PROBABILITY 21 CHAPTER 3 RUNS AND PATTERNS IN A
SEQUENCE OF TWO-STATE TRIALS 25 3.1 INTRODUCTION 25 3.2 NUMBER OF
NON-OVERLAPPING CONSECUTIVE K SUCCESSES 26 3.3 NUMBER OF SUCCESS RUNS OF
LENGTH GREATER THAN OR EQUAL TO K 31 3.4 NUMBER OF OVERLAPPING
CONSECUTIVE K SUCCESSES 33 3.5 NUMBER OF RUNS OF EXACTLY K SUCCESSES 35
3.6 THE DISTRIBUTION OF THE LONGEST SUCCESS RUN 37 3.7 WAITING-TIME
DISTRIBUTION OF A SUCCESS RUN 40 3.8 NUMERICAL EXAMPLES 43 3.9 NUMBER OF
SUCCESSES IN SUCCESS RUNS OF LENGTH GREATER THAN OR EQUAL TO K 44 IX X
CONTENTS CHAPTER 4 RUNS AND PATTERNS IN MULTI-STATE TRIALS 49 4.1
INTRODUCTION 49 4.2 FORWARD AND BACKWARD PRINCIPLE WITH NONROVERLAP
COUNTING . 49 4.3 OVERLAP COUNTING 57 4.4 SERIES PATTERN 59 4.5 JOINT
DISTRIBUTION 60 CHAPTER 5 WAITING-TIME DISTRIBUTIONS 63 5.1 INTRODUCTION
63 5.2 THE WAITING TIME OF A SIMPLE PATTERN 65 5.3 THE WAITING TIME OF A
COMPOUND PATTERN 66 5.4 PROBABILITY GENERATING FUNCTION 72 5.5 MEAN OF
WAITING TIME W(A) 76 5.6 MORE ABOUT GENERATING FUNCTIONS 80 5.7 SPECTRUM
ANALYSIS AND LARGE DEVIATION APPROXIMATION . . . . 84 5.8 PROBABILITY
GENERATING FUNCTION OF W(R, A) 87 5.9 SCAN STATISTICS 89 CHAPTER 6
RANDOM PERMUTATIONS 97 6.1 INTRODUCTION 97 6.2 SUCCESSIONS 99 6.3
EULERIAN AND SIMON NEWCOMB NUMBERS 107 CHAPTER 7 APPLICATIONS 117 7.1
INTRODUCTION 117 7.2 SYSTEM RELIABILITY 117 7.2.1
CONSECUTIVE-FC-OUT-OF-N:F SYSTEM 119 7.2.2 LINEARLY CONNECTED SYSTEM 126
7.3 HYPOTHESIS TESTING 127 7.4 SEQUENTIAL CONTINUITY 133 7.5 QUALITY
CONTROL SCHEMES 140 7.5.1 SIMPLE CONTROL SCHEMES 141 7.5.2 COMPOUND
CONTROL SCHEMES 147 BIBLIOGRAPHY 153 INDEX 161
|
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| isbn | 9810245874 |
| language | English |
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| spelling | Fu, James C. Verfasser aut Distribution theory of runs and patterns and its applications a finite Markov chain imbedding approach James C. Fu ; W. Y. Wendy Lou River Edge, NJ [u.a.] World Scientific 2003 X, 162 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Markov processes Random variables Distribution (Probability theory) Endliche Markov-Kette (DE-588)4152154-7 gnd rswk-swf Endliche Markov-Kette (DE-588)4152154-7 s DE-604 Lou, W. Y. Wendy Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010384007&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fu, James C. Lou, W. Y. Wendy Distribution theory of runs and patterns and its applications a finite Markov chain imbedding approach Markov processes Random variables Distribution (Probability theory) Endliche Markov-Kette (DE-588)4152154-7 gnd |
| subject_GND | (DE-588)4152154-7 |
| title | Distribution theory of runs and patterns and its applications a finite Markov chain imbedding approach |
| title_auth | Distribution theory of runs and patterns and its applications a finite Markov chain imbedding approach |
| title_exact_search | Distribution theory of runs and patterns and its applications a finite Markov chain imbedding approach |
| title_full | Distribution theory of runs and patterns and its applications a finite Markov chain imbedding approach James C. Fu ; W. Y. Wendy Lou |
| title_fullStr | Distribution theory of runs and patterns and its applications a finite Markov chain imbedding approach James C. Fu ; W. Y. Wendy Lou |
| title_full_unstemmed | Distribution theory of runs and patterns and its applications a finite Markov chain imbedding approach James C. Fu ; W. Y. Wendy Lou |
| title_short | Distribution theory of runs and patterns and its applications |
| title_sort | distribution theory of runs and patterns and its applications a finite markov chain imbedding approach |
| title_sub | a finite Markov chain imbedding approach |
| topic | Markov processes Random variables Distribution (Probability theory) Endliche Markov-Kette (DE-588)4152154-7 gnd |
| topic_facet | Markov processes Random variables Distribution (Probability theory) Endliche Markov-Kette |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010384007&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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