A Jackknife Empirical Likelihood Approach to Goodness-of-fit Degenerate U-statistics Testing
نویسنده
چکیده
Motivated by applications to goodness of fit degenerate U-statistics testing, the Jackknife empirical likelihood approach for U-statistics is generalized to degenerate U-statistics. The proposed empirical likelihood based goodness of fit tests are asymptotically distribution free. The asymptotic theory for testing shift of location, spatial depth testing for central symmetry, Cramér-von Mises type statistic of Mdistribution Testing for a Specific Distribution, Cramér-von Mises statistic testing for a specific distribution, Simplicial depth testing for angular symmetry are presented.
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A Jackknife Empirical Likelihood Approach to Goodness of Fit U-statistics Testing with Side Information
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Lin, Qun. Ph.D., Purdue University, December, 2013. A Jackknife Empirical Likelihood Approach To Goodness of Fit U-Statistics Testing With Side Information. Major Professor: Dr. Hanxiang Peng. Motivated by applications to goodness of fit U-statistics testing, the jackknife empirical likelihood of Jing, et al. (2009) is justified with an alternative approach, and the Wilks theorem for vector U-s...
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