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A Shrinkage Estimator for Combination of Bioassays

A Shrinkage Estimator for Combination of Bioassays
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摘要 A shrinkage estimator and a maximum likelihood estimator are proposed in this paper for combination of bioassays. The shrinkage estimator is obtained in closed form which incorporates prior information just on the common log relative potency after the homogeneity test for combination of bioassays is accepted. It is a practical improvement over other estimators which require iterative procedure to obtain the estimator for the relative potency. A real data is also used to show the superiorities for the newly-proposed procedures. A shrinkage estimator and a maximum likelihood estimator are proposed in this paper for combination of bioassays. The shrinkage estimator is obtained in closed form which incorporates prior information just on the common log relative potency after the homogeneity test for combination of bioassays is accepted. It is a practical improvement over other estimators which require iterative procedure to obtain the estimator for the relative potency. A real data is also used to show the superiorities for the newly-proposed procedures.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2007年第3期467-476,共10页 应用数学学报(英文版)
基金 the National Natural Science Foundation of China(No.10671044) the Science & Technology Bureau of Guangzhou Municipal Government(2004J1-C0333) Guangzhou advanced University(2004)
关键词 Common log relative potency parallel-line bioassay slope-ratio bioassay prior information posterior distribution marginal sufficiency Common log relative potency, parallel-line bioassay, slope-ratio bioassay, prior information,posterior distribution, marginal sufficiency
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参考文献13

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