Statistical Inference for Simple Tree Order in the Means of Stochastic Order on Stratified Contingency Tables  

作　　者：YAN Guoyi1,2, CHEN Jingjing3 1.School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China 2. School of Sciences, Wuhan Institute of Technology, Wuhan 430074, Hubei, China 3. School of Sciences, Wuhan University of Science and Technology, Wuhan 430081, Hubei, China 

出　　处：《Wuhan University Journal of Natural Sciences》2010年第2期93-98,共6页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (10771163)

摘　　要：In this paper, we consider testing the hypothesis that all multinomial populations in the stratified contingency table are identically distributed against the alternative that all these popula- tions are in simple tree order. We provide an asymptotic represen- tation of the order-restricted maximum likelihood estimate of the unknown parameters. The resulting estimators are proven to be ~n-consistent and asymptotically normal under appropriate conditions. A chi-squared test method is used for this hypothesis test problem. A real data set is applied to illustrate our theoretical result.In this paper, we consider testing the hypothesis that all multinomial populations in the stratified contingency table are identically distributed against the alternative that all these popula- tions are in simple tree order. We provide an asymptotic represen- tation of the order-restricted maximum likelihood estimate of the unknown parameters. The resulting estimators are proven to be ~n-consistent and asymptotically normal under appropriate conditions. A chi-squared test method is used for this hypothesis test problem. A real data set is applied to illustrate our theoretical result.

关 键 词：simple tree order chi-squared test asymptotic representation asymptotic distribution 

分 类 号：O212[理学—概率论与数理统计]