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He Bing1; Chen Min2; Song Lixin3; Wang Dehui1
Source Publicationactamathematicaeapplicataesinica
AbstractA 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.
Document Type期刊论文
Affiliation1.College of Mathematics,Jilin University
3.Department of Mathematics,Dalian University of Technology
Recommended Citation
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.
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