Xu Shizhong
Department of Botany and Plant Sciences, University of California, Riverside, California 92521, USA.
Genetics. 2007 Oct;177(2):1255-8. doi: 10.1534/genetics.107.077487. Epub 2007 Aug 24.
The shrinkage estimate of a quantitative trait locus (QTL) effect is the posterior mean of the QTL effect when a normal prior distribution is assigned to the QTL. This note gives the derivation of the shrinkage estimate under the multivariate linear model. An important lemma regarding the posterior mean of a normal likelihood combined with a normal prior is introduced. The lemma is then used to derive the Bayesian shrinkage estimates of the QTL effects.
数量性状基因座(QTL)效应的收缩估计是指当为QTL指定正态先验分布时,QTL效应的后验均值。本笔记给出了多元线性模型下收缩估计的推导过程。引入了一个关于正态似然与正态先验相结合的后验均值的重要引理。然后利用该引理推导QTL效应的贝叶斯收缩估计。