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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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥2,710,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥510,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2006: ¥500,000 (Direct Cost: ¥500,000)
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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 / 複合パターン / スキャン統計量 / 連続システム / 有向木 / 高次マルコフ木 / 2重確率母関数 / マルコフ連鎖 / 最尤推定法 / 確率測度の弱収束 / empirical process / 高次マルコフ連鎖 / start-up demonstration test / 識別可能性 |
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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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Report
(6 results)
Research Products
(34 results)
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[Presentation] 有向木上の連の分布2009
Author(s)
井上潔司, 安芸重雄
Organizer
2009年度統計関連学会連合大会
Place of Presentation
同志社大学(京田辺市)
Year and Date
2009-09-09
Related Report
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