| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2011: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Research Abstract |
This research project developed a new method for inference for finite mixture models. Finite mixture models are very popular in applications, but their inference is known to be difficult. Specifically, when one tests for the number of components in a mixture model, the likelihood ratio test statistic does not have the standard chi-square asymptotic distribution. We developed a new approach to analyzing the likelihood function of finite mixture models, and constructed inference procedures that are applicable to a wide class of models and have an easily computable asymptotic distribution. Further, we analyzed the finite sample performance of the proposed procedures by computer simulations.
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