| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
A statistical manifold is a generalization of geometric structures naturally formulated for statistical models from the viewpoint of differential geometry, where a statistical model is a set of probability density functions that have suitable regularity conditions. On the other hand, a conformal structure is a geometrical structure for equivalence of metrics (or inner products) that preserve orthogonality and angle.
In this study, we show that statistical models such as the deformation exponential families admit sequential geometrical structures, and have a generalized conformal equivalence structures between invariant statistical manifolds and flat statistical manifolds.
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