| Budget Amount *help |
¥18,200,000 (Direct Cost: ¥14,000,000、Indirect Cost: ¥4,200,000)
Fiscal Year 2015: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2013: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2012: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2011: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
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| Outline of Final Research Achievements |
In the research, in the non-regular case when regularity conditions do not necessarily hold, the aim was to clarify the non-regular inferential structure from the viewpoint of higher order asymptotic expansion. For a one-/two-sided truncated exponential family of distributions as a typical non-regular family, an estimation problem on a natural/truncation parameter was considered. In the estimation of a natural parameter when a truncation parameter was a nuisance one, the asymptotic expansions of the maximum likelihood estimator (MLE)(0) of a natural parameter when a truncation parameter was known and the bias-adjusted MLE(1) of a natural parameter when a truncation parameter was unknown were derived, their asymptotic variances were obtained, and the second order asymptotic loss of MLE(1) relative to MLE(0) was given. The MLE of a truncation parameter when a natural parameter was a nuisance one was also considered. From the result the non-regular structure was clarified.
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