| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Outline of Final Research Achievements |
1) Consider a family of parametric distributions. We get a predictive distribution by inserting the maximum likelihood estimator. We measure the discrepancy the predictive distribution and the true distribution by alpha-divergence and define the risk as its expectation. We derived an asymptotic expansion w.r.t. the sample size. The first term ,i.e. 1/n term equals (the number of the parameters)/2 and the second term, i.e. 1/n^2 term is expressed with various geometrical properties. We gained concrete results for a multinomial distribution, a multivariate normal distribution, a mixture family. 2) We applied the above general result to a multiple regression model with a parametric error distribution. We investigated how the distribution of the explanatory variables and the error distribution affect the geometrical properties in the second term.
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