Mixture Normal Models in which the Proportions of Susceptibility are Related to Dose Levels  

作　　者：Bing He Min Chen Li-xin Song De-hui Wang 

机构地区：[1]College of Mathematics, Jilin University, Changchun, Jilin 130012, China [2]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China [3]Department of Mathematics, Dalian University of Technology, Dalian 116024, China

出　　处：《Acta Mathematicae Applicatae Sinica》2010年第3期463-472,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 10571073);Specialized Research Fund for the Doctoral Program of Higher Education (No. 20070183023);Program for New Century Excellent Talents in University, Scientific Research Fund of Jilin University (No. 200810024)

摘　　要：A problem that frequently occurs in biological experiments with laboratory animals is that some subjects are less susceptible to the treatment group than others. Finite mixture models have traditionally been used to describe the distribution of responses in treated subjects for such studies. In this paper, we first study the mixture normal model with multi-levels and multiple mixture sub-populations under each level, with particular attention being given to the model in which the proportions of susceptibility are related to dose levels, then we use EM-algorithm to find the maximum likelihood estimators of model parameters. Our results are generalizations of the existing results. Finally, we illustrate realistic significance of the above extension based on a set of real dose-response data.

关 键 词：DOSE-RESPONSE EM-ALGORITHM mixture normal models SUSCEPTIBILITY 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术] S274.4[自动化与计算机技术—计算机科学与技术]