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具有随机组容量的Poisson-gamma模型离差参数齐性检验

Test for Heteroscedasticity in Poisson-gamma Models with Random Clusters
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摘要 针对目前离差参数齐性检验都假定组容量固定的情形,提出了在组容量随机情况下离差参数齐性的检验问题。通过采用方差参数化方法研究纵向数据中Poisson-gamma模型的离差参数齐性检验问题,给出了组容量的随机性和离差参数齐性的联合检验方法,得到了score检验统计量。通过数值算例的实证分析检验了该方法的有效性。 In view of the actuality that the test for heteroscedasticity is supposed in fixed clusters, a test for heteroscedasticity in random clusters is proposed here. The method of variances parameterization is utilized to investigate the test for heteroscedasticity in Poisson-gamma regression model of longitudinal data. The composite tests for heteroscedasticity and random clusters are given. The statistic data of score test is obtained. A numerical example of the real data is given here to illustrate the effectiveness.
出处 《南京理工大学学报》 EI CAS CSCD 北大核心 2009年第3期383-387,共5页 Journal of Nanjing University of Science and Technology
基金 国家自然科学基金(10671032)
关键词 Poisson—gamma模型 离差 离差参数齐性 随机组容量 SCORE检验 Poisson-gamma model dispersions heteroscedasticity random cluster score test
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