2009 Fiscal Year Final Research Report
Statistical inference for discrete distributions on random sequences
| Project/Area Number |
18540148
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kansai University |
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Principal Investigator |
AKI Sigeo Kansai University, システム理工学部, 教授 (90132696)
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| Project Period (FY) |
2006 – 2009
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| Keywords | 離散分布論 / 確率母関数 / 離散パターン / 条件付き期待値 / 最尤推定量 |
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| Research Abstract |
Exact discrete distributions of numbers of occurrences and waiting times of some patterns and scans on random sequences are investigated. Based on our theoretical new results we can make statistical inference of some parameters such as success probability. By extending the method of conditional probability generating functions we have derived new results analytically, some of which are also suitable for numerical calculations.
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