| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Research Abstract |
In the estimation problem on a location parameter for a family of two-sided truncated distributions, we considered the case when each distribution's support is an interval and its density had positive values on the interval and differential coefficients at its endpoints. Then, it was shown that the second order asymptotic loss of information of the statistic consisting of extreme values and an asymptotically ancillary statistic vanished. On the other hand, from the Bayesian viewpoint, the best location equivariant estimator (Pitman estimator) is regarded as the generalized Bayes estimator which minimized the risk with respect to an improper uniform distribution and the quadratic loss. In the above estimation problem, we obtained the asymptotic concentration probability of the Pitman estimator and compared it with other location equivariant estimators.
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