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

タイトル: Statistical distribution theory of runs in higher-order Markov dependent trials

博士論文

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)

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