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Statistics Seminar
Department of Mathematical Sciences

DATE:Thursday, September 28, 2017
TIME:1:15pm – 2:15pm
SPEAKER:Jihnhee Yu, SUNY Buffalo
TITLE:Applications of empirical likelihood methods to some U-statistics


Empirical likelihood approach with U-statistics is explained. The summands of U-statistics are not independent, and empirical weights of each summand may not have a direct interpretation as a probability point mass, dissimilar to the common empirical likelihood constraints based on independent summands. The resulting empirical likelihood ratio statistics have asymptotically weighted chi-square distributions. The proposed methods applied for some well-known U-statistics have robust Type I error control under various underlying distributions including cases with the violation of exchangeability under null hypotheses. A few applications including receiver operating characteristic curve analysis and testing in a cross-over design are presented.

seminars/stat/170928.txt · Last modified: 2017/09/20 14:15 by aleksey