Statistical distribution theory of runs in higher-order Markov dependent trials 高次マルコフ従属試行列における連の統計的分布理論
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Bibliographic Information
- Title
-
Statistical distribution theory of runs in higher-order Markov dependent trials
- Other Title
-
高次マルコフ従属試行列における連の統計的分布理論
- Author
-
内田, 雅之
- Author(Another name)
-
ウチダ, マサユキ
- University
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大阪大学
- Types of degree
-
博士 (理学)
- Grant ID
-
乙第7426号
- Degree year
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1998-02-18
Note and Description
博士論文
Table of Contents
- Contents / p1 (0003.jp2)
- 1 Introduction / p1 (0005.jp2)
- 2 Sooner and later waiting time problems in a two-state Markov chain / p5 (0009.jp2)
- 2.1 Introduction / p5 (0009.jp2)
- 2.2 Case Type I / p6 (0010.jp2)
- 2.3 Case Type II / p11 (0015.jp2)
- 2.4 Case Type III / p18 (0022.jp2)
- 2.5 Application and computation / p23 (0027.jp2)
- 3 Joint distributions of numbers of success-runs until the first consecutive k successes in a higher-order two-state Markov chain / p26 (0030.jp2)
- 3.1 Introduction / p26 (0030.jp2)
- 3.2 Preliminary / p27 (0031.jp2)
- 3.3 Joint distribution of numbers of successes and failures in a higher-order Markov chain / p31 (0035.jp2)
- 3.4 Joint distribution of numbers of success-runs in a higher-order Markov chain / p34 (0038.jp2)
- 4 On number of occurrences of success runs of specified length in a higher-order two-state Markov chain / p44 (0048.jp2)
- 4.1 Introduction / p44 (0048.jp2)
- 4.2 Numbers of success-runs in a higher-order Markov chain(Case m≤k) / p44 (0048.jp2)
- 4.3 Numbers of success-runs in a higher-order Markov chain(Case k<m) / p52 (0056.jp2)
- Acknowledgments / p56 (0060.jp2)
- Bibliography / p57 (0061.jp2)
