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遗传参数的极大似然估计
引用本文:张晴霞,刘妍岩.遗传参数的极大似然估计[J].武汉大学学报(理学版),2009,55(6).
作者姓名:张晴霞  刘妍岩
作者单位:1. 西南石油大学,理学院,四川,南充,637001
2. 武汉大学,数学与统计学院,湖北,武汉,430072
摘    要:将Luo和Woolliams模型中的混合正态分布推广到混合对数正态分布.先用矩量法得到各参数的估计值,再将此估计值作为EM(Expectation Maximization)算法迭代的初值进行迭代,将矩量估计和极大似然估计结合起来,提高了EM算法的收敛速度并使修改后的模型更符合生物学事实.

关 键 词:极大似然估计  EM(Expectation  Maximization)算法  对数正态  数量性状基因位点  连锁  标记基因

Maximum Likelihood Estimation of Genetic Parameters
ZHANG Qingxia,LIU Yanyan.Maximum Likelihood Estimation of Genetic Parameters[J].JOurnal of Wuhan University:Natural Science Edition,2009,55(6).
Authors:ZHANG Qingxia  LIU Yanyan
Abstract:In QTL (quantitative trait locus) studies, it is commonly assumed that the quantitative trait are distributed as normals. However, as Luo & Woolliams have pointed, this assumption is not reasonable in practice, which will lead to bias of the corresponding estimators. They also have suggested that the lognormal distribution of quantitative trait would be more reasonable. In this paper, under the assumption of lognormal distributed quantitative trait, we follow two estimating methodologies proposed by Luo and Woolliams. moment estimate and maximum likelihood estimate based on EM algorithm to estimate parameters.
Keywords:maximum likelihood estimator  EM (Expectation Maximization) algorithm  lognormaldistribution  QTL(quantitative trait locus)  linkage  marker gene
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