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Generalized fiducial methods for testing quantitative trait locus effects in genetic backcross studies
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作者 Pengcheng Ren Guanfu Liu +1 位作者 Xiaolong Pu Yan Li 《Statistical Theory and Related Fields》 2022年第2期148-160,共13页
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 family.Compar... 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 family.Compared 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 sizes.The 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. 展开更多
关键词 generalized fiducial inference quantitative trait locus mixture model Gibbs algorithm likelihood ratio test
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Tolerance Limits Under Gamma Mixtures:Application in Hydrology
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作者 JIAO Junjun CHENG Weihu 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2023年第3期1285-1301,共17页
In this study,the authors proposed upper tolerance limits for the gamma mixture distribution based on generalized fiducial inference,and an MCMC simulation is performed to sample from the generalized fiducial distribu... In this study,the authors proposed upper tolerance limits for the gamma mixture distribution based on generalized fiducial inference,and an MCMC simulation is performed to sample from the generalized fiducial distributions.The simulation results and a real hydrological data example show that the proposed tolerance limits are more efficient. 展开更多
关键词 Gamma mixture distribution generalized fiducial inference incomplete data latent variable Markov chain Monte Carlo
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