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Method of sequential mesh on Koopman-Darmois distributions

Science china Mathematics 2010年第4期53卷 917-926页

作者： li yan & pu xiaolong school of finance and statistics,east china {3. University,shanghai 200241,china 1. school of finance and statistics East China Normal University Shanghai 200241 China

For costly and/or destructive tests,the sequential method with a proper maximum sample size is *** on Koopman-Darmois distributions,this paper proposes the method of sequential mesh,which has an acceptable maximum sample *** comparison with the popular truncated sequential probability ratio test,our method has the advantage of a smaller maximum sample size and is especially applicable for costly and/or destructive tests.

关键词： method of sequential mesh sequential probability ratio test (SPRT) Koopman-Darmois distributions maximum sample size

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Generalized fiducial methods for testing quantitative trait locus effects in genetic backcross studies

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Statistical Theory and Related Fields 2022年第2期6卷 148-160页

作者： Pengcheng Ren Guanfu liu xiaolong pu {3. li KLATASDS-MOE School of StatisticsEast China Normal UniversityShanghaiPeople’s Republic of China school of statistics and Information Shanghai University of International Business and EconomicsShanghaiPeople’s Republic of China

In this paper,we propose generalized fiducial methods and construct four generalized p-values to test the existence of quantitative trait locus effects under phenotype distributions from a location-scale *** with the likelihood ratio test based on simulation studies,our methods perform better at controlling type I errors while retaining comparable power in cases with small or moderate sample *** four generalized fiducial methods support varied sce-narios:two of them are more aggressive and powerful,whereas the other two appear more conservative and robust.A real data example involving mouse blood pressure is used to illustrate our proposed methods.

关键词： Generalized fiducial inference quantitative trait locus mixture model Gibbs algorithm likelihood ratio test

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The Method of Combined Inspection

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Acta Mathematicae Applicatae Sinica 2009年第2期25卷 235-242页

作者： Wei-qing Zhang Xiao-long pu yan li school of finance and statistics East China Normal University Shanghai 200241 China

For costly and/or destructive inspections for a complex population, the sum of observations, the test statistic in common use, is shown to be inefficient in risk control. For the complex population consisting of Bernoulli distributions, the method of combined inspection is proposed in this paper, Evaluation based on examples and simulation results is conducted according to the method of limited classification. It is concluded that the new method is efficient and applicable.

关键词： Method of combined inspection sampling inspection complex population overall classification limited classification

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