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Analysis of φ-divergence for Loglinear Models with Constraints under Product-multinomial Sampling

Analysis of φ-divergence for Loglinear Models with Constraints under Product-multinomial Sampling

作     者:Ying-hua JIN Yao-hua Wu 

作者机构:Department of Statistics and Finance University of Science and Technology of China Faculty of Applied Mathematics Guangdong University of Technology 

出 版 物:《Acta Mathematicae Applicatae Sinica》 (应用数学学报(英文版))

年 卷 期:2013年第29卷第1期

页      面:93-104页

核心收录:

学科分类:02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学(可授理学、经济学学位)] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基  金:Supported by the National Natural Science Foundation of China (No. 10871188, 10801123, 11231010) Guang-dong Province Natural Science Fund (No.S2012040007622) the Knowledge Innovation Program of the Chinese Academy of Sciences (Grant No. KJCX3-SYW-S02) 

主  题:loglinear model product-multinomial sampling Restricted minimum C-divergence estimator(RMDE) C-divergence test statistics 

摘      要:The loglinear model under product-multinomial sampling with constraints is considered. The asymptotic expansion and normality of the restricted minimum C-divergence estimator (RMDE) which is a generalization of the maximum likelihood estimator is presented. Then various statistics based on C-divergence and RMCDE are used to test various hypothesis test problems under the model considered. These statistics contain the classical loglikelihood ratio test statistics and Pearson chi-squared test statistics. Ia the last section, a simulation study is implemented.

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