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Title

A Modified Likelihood Ratio Test For Homogeneity in Finite Mixture Models

Year: 1379
COI: ISC05_001
Language: EnglishView: 1,717
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Authors

Hanfeng Chen - Dept. of Math. & Stat., Bowling Green State University, Bowling Green, OH ۴۳۴۰۳-۰۲۲۱, U.S.A.
Jiahua Chen - Dept. of Math. & Stat., Bowling Green State University, Bowling Green, OH ۴۳۴۰۳-۰۲۲۱, U.S.A.
John D.Kalbfleisch - Dept: of Statistics, University of Waterloo, Waterloo, ON N۲۱ ۳G۱, Canada.

Abstract:

Testing for homogeneity in finite mixture models has been investigated recently by many authors. It has been recognized that the asymptotic null distribution of the likelihood ratio test (LRT) is very complex and difficult to implement. In this paper, we propose a modified LRT for homogeneity in the finite mixture models with a general parametric kernel distribution family. The modified LRT enjoys the simple X2- type null limiting distribution and is asymptotically most powerfull under the local alternative models. The modified LRT is found is simulations to perform better than the C(a) test, the bootstrap test and Davies’ method. The empirical sampling study also reveals that the limiting distribution with some adjustment can satisfactorily approximate the quantiles of the test statistic even at a moderate sample size.

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This Paper COI Code is ISC05_001. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/84751/

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Chen, Hanfeng and Chen, Jiahua and D.Kalbfleisch, John,1379,A Modified Likelihood Ratio Test For Homogeneity in Finite Mixture Models,05th Iranian Statistics Conference,Isfahan,https://civilica.com/doc/84751

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