| Project/Area Number |
24650146
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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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) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 統計的推測 / 標本空間 / 情報量 / 分布 / 統計量 / 推定 / 検定 / 確率分布 |
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| Outline of Final Research Achievements |
Let H be a sample space consisting of the range of sample of size n which is assumed to be the n-dimensional Euclidean space and H" a restricted sample space of the range of convex combination of the maximum value and the minimum value. Define a statistical experiment by a triple of a sample space, a random sample and its density. Let E and E" be corresponding experiments to spaces H and H", respectively. Then we consider the estimation problem of a location parameter of a truncated distribution. From the viewpoint of equivariance, it is conjectured that there is no asymptotic loss of information associated with the experiment E" relative to E. In this research, it is negatively solved. Indeed, the value of asymptotic loss of information associated with the experiment E" relative to E was obtained. This means that the information of the experiment E can not be grasped by E".
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