Mixture normal models in which the proportions of susceptibility are related to dose levels

doi:10.1007/s10255-010-0020-3

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	Mixture normal models in which the proportions of susceptibility are related to dose levels
	He, Bing 1; Chen, Min2 ; Song, Li-xin 3; Wang, De-hui 1
	2010-07-01
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	26 期号:3 页码:463-472
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
DOI	10.1007/s10255-010-0020-3
语种	英语
资助项目	National Natural Science Foundation of China[10571073] ; Specialized Research Fund for the Doctoral Program of Higher Education[20070183023] ; Program for New Century Excellent Talents in University ; Jilin University[200810024]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000278679400011
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9858
专题	应用数学研究所
通讯作者	He, Bing
作者单位	1.Jilin Univ, Coll Math, Changchun 130012, Jilin, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Dalian Univ Technol, Dept Math, Dalian 116024, Peoples R China
推荐引用方式 GB/T 7714	He, Bing,Chen, Min,Song, Li-xin,et al. Mixture normal models in which the proportions of susceptibility are related to dose levels[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2010,26(3):463-472.
APA	He, Bing,Chen, Min,Song, Li-xin,&Wang, De-hui.(2010).Mixture normal models in which the proportions of susceptibility are related to dose levels.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,26(3),463-472.
MLA	He, Bing,et al."Mixture normal models in which the proportions of susceptibility are related to dose levels".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 26.3(2010):463-472.