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数量性状基因座效应收缩估计值的推导。

Derivation of the shrinkage estimates of quantitative trait locus effects.

作者信息

Xu Shizhong

机构信息

Department of Botany and Plant Sciences, University of California, Riverside, California 92521, USA.

出版信息

Genetics. 2007 Oct;177(2):1255-8. doi: 10.1534/genetics.107.077487. Epub 2007 Aug 24.

Abstract

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.

摘要

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。

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本文引用的文献

1
An empirical Bayes method for estimating epistatic effects of quantitative trait loci.
Biometrics. 2007 Jun;63(2):513-21. doi: 10.1111/j.1541-0420.2006.00711.x.
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Bayesian shrinkage analysis of quantitative trait Loci for dynamic traits.
Genetics. 2007 Jun;176(2):1169-85. doi: 10.1534/genetics.106.064279. Epub 2007 Apr 15.
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Bayesian shrinkage estimation of quantitative trait loci parameters.
Genetics. 2005 May;170(1):465-80. doi: 10.1534/genetics.104.039354. Epub 2005 Mar 21.
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Genetics. 2003 Jul;164(3):1129-38. doi: 10.1093/genetics/164.3.1129.
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