| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Outline of Final Research Achievements |
The notion of statistical manifold is a differential geometric formulation of a set of probability distributions. For statistical manifold structures for statistical models, geometric structures are studied from the viewpoints of integrable and non-integrable systems. In particular, natural statistical manifold structures of statistical models are elucidated using geometry of estimating functions. In addition, the notions of expectations and independences are generalized from the viewpoint of differential geometry, and relations between expectations of random variables and generalized conformal structures of statistical manifolds are elucidated.
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