2014 Fiscal Year Final Research Report
New Development of Statistical Experiment and Its Applications
| 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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| Keywords | 統計的推測 / 標本空間 / 情報量 |
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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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| Free Research Field |
数理統計学
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