| Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
In this project, we propose smoothed rank tests based on the kernel method which gives us smooth statistical inference. The proposed tests conquer the problem of the discreteness of the distribution for rank tests. We also obtain theoretical properties of the smoothed rank tests, and show the proposed tests are asymptotically equivalent to the ordinary rank tests. Further we obtain Edgeworth expansions of these tests, which are improvements of the normal approximations. If we choose proper kernels, we can get the Edgewroth expansions which do not depend on the population distribution. These results are unique and forefront of this area.
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