The consistency of the posterior probability of linkage.
The consistency of the posterior probability of linkage.
复制标题
连锁后验概率的一致性。
DOI：
10.1046/j.1469-1809.2000.6460533.x
复制
发表时间：
2000
影响因子：
1.9
通讯作者：
Vieland,VJ
中科院分区：
文献类型：
--
作者：
Wang,K;Huang,J;Vieland,VJ
当沿着基因组寻找性状位点时，适当地将先前的基因组信息纳入分析几乎肯定会增加成功的机会。最近，我们设计了一种方法，利用这些先验信息绘制复杂疾病的性状基因（Vieland, 1998; Wang et al. 1999; Vieland et al. 2000）。该方法采用基于外加剂模型的后验联动概率（PPL）作为联动信息的度量。本文研究了PPL的一致性问题。结果表明，随着家系数量的增加，当标记与性状位点存在连锁时，PPL的概率收敛于1，否则收敛于0。这一结论适用于一般的谱系和性状模型，即使可能性函数是基于错误指定的性状模型。作为证明这一结论的努力的一部分，结果表明，当没有联系时，混合模型中重组分数的最大似然估计量渐近0.5，即使混合模型与真实模型不一致。
When searching for trait loci along the genome, properly incorporating prior genomic information into the analysis will almost certainly increase the chance of success. Recently, we devised a method that utilizes such prior information in the mapping of trait genes for complex disorders (Vieland, 1998; Wang et al. 1999; Vieland et al. 2000). This method uses the posterior probability of linkage (PPL) based on the admixture model as a measure of linkage information. In this paper, we study the consistency of the PPL. It is shown that, as the number of pedigrees increases, the PPL converges in probability to 1 when there is linkage between the marker and a trait locus, and converges to 0 otherwise. This conclusion is shown to be true for general pedigrees and trait models, even when the likelihood functions are based on misspecified trait models. As part of the effort to prove this conclusion, it is shown that when there is no linkage, the maximum likelihood estimator of the recombination fraction in the admixture model is asymptotically 0.5, even when the admixture model misrepresents the true model.