| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
We derived an explicit form of Bayes estimate in the problem of estimating a wave function (a pure state) that describes the qunatum system. We also give an example where Bayes estimate with respect to a noninformative prior gets uniformly smaller estimation error than that based on the maximum likelihood estimate.
In addition, we proposed a new formulation where we consider the choice of a noninformative prior, which is a fundamental issue not only in Bayesian statistics but also in traditional statistics. It includes both classical and quantum statistics. We introduce a restricted class of (physical) measurements and estimates and among them we show minimax theorem connecting Bayes methods with minimax methods. Under regularity conditions, we show the existence of least favorable priors.
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