| Project/Area Number |
21650063
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
Statistical science
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| Research Institution | University of Tsukuba |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
AOSHIMA Makoto 筑波大学, 数理物質系, 教授 (90246679)
KOIKE Ken-ichi 筑波大学, 数理物質系, 准教授 (90260471)
OHYAUCHI Nao 筑波大学, 数理物質系, 助教 (40375374)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥3,400,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2009: ¥1,100,000 (Direct Cost: ¥1,100,000)
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| Keywords | 不偏性 / 十分性 / 完備性 / 統計量 / 推定量 / 分散 / 正則条件 / 指数型分布族 / 完備十分統計量 / 一様最小分散不偏推定量 / 母数空間 / 収束半径 / 切断分布 / 極値統計量 / 一般化情報量 / スコア / 有効性 / リスク |
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| Research Abstract |
Suppose that there exists the complete sufficient statistic and the expansion of power series of a real-valued function of a real parameter is admitted in the circle with a certain convergence radius. Then it is shown to be possible to construct the UMVU estimator of the function in it. Further, in the case when there exists the UMVU estimator in the circle, if the unbiasedness of the estimator holds for the whole parameter space, then it is the UMVU estimator. For example, in exponential and uniform cases it is shown to construct the UMVU estimator in the given parameter space.
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