2016 Fiscal Year Final Research Report
Evaluation of location estimates based on the Radial distributions generated by positive distributions
| Project/Area Number |
26540014
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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 | Chuo University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
OKUSA Kosuke 九州大学, 芸術工学研究科, 助教 (30636907)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | ワイブル分布 / 位置推定 / 回転分布 |
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| Outline of Final Research Achievements |
We have developed algorithms for finding the confidence region for specifying the confidence level that trusts the location estimates by constructing the statistical model and estimating its parameters of the position estimation of the person in the room with high precision. It is possible to accurately estimate the location parameter by the rotation distributions from the Weibull distribution and the lognormal distribution which are positive distributions. By using the implicit function theorem, we can calculate the asymptotic distribution of the conditional maximum likelihood estimators for confidence regions of the location.
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| Free Research Field |
統計科学
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