| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
We provided two disjoint models: the strongly spiked eigenvalue (SSE) model and the non-SSE (NSSE) model. It can be noted that, under the SSE model, asymptotic normality of high-dimensional statistics is not valid because it is heavily influenced by strongly spiked eigenvalues. In order to handle several statistical inferences for the SSE model, we propose a data transformation from the SSE model to the NSSE model by estimating the strongly spiked eigenstructures. We create new statistical test procedures by the data transformation. In addition, we provided several high-dimensional discriminant procedures and pathway analysis methods based on the models.
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