mixturenormalmodelsinwhichtheproportionsofsusceptibilityarerelatedtodoselevels

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	mixturenormalmodelsinwhichtheproportionsofsusceptibilityarerelatedtodoselevels
	He Bing 1; Chen Min2 ; Song Lixin 3; Wang Dehui 1
	2010
发表期刊	actamathematicaeapplicataesinica
ISSN	0168-9673
卷号	000 期号:003 页码:463
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.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/40097
专题	应用数学研究所
作者单位	1.College of Mathematics,Jilin University 2.中国科学院数学与系统科学研究院 3.Department of Mathematics,Dalian University of Technology
推荐引用方式 GB/T 7714	He Bing,Chen Min,Song Lixin,et al. mixturenormalmodelsinwhichtheproportionsofsusceptibilityarerelatedtodoselevels[J]. actamathematicaeapplicataesinica,2010,000(003):463.
APA	He Bing,Chen Min,Song Lixin,&Wang Dehui.(2010).mixturenormalmodelsinwhichtheproportionsofsusceptibilityarerelatedtodoselevels.actamathematicaeapplicataesinica,000(003),463.
MLA	He Bing,et al."mixturenormalmodelsinwhichtheproportionsofsusceptibilityarerelatedtodoselevels".actamathematicaeapplicataesinica 000.003(2010):463.