On the Application of Markov Chain Monte Carlo Methods to Genetic Analyses on Complex Pedigrees

N. A. Sheehan

International Statistical Review, 2000, vol. 68, issue 1, 83-110

Abstract: Markov chain Monte Carlo methods are frequently used in the analyses of genetic data on pedigrees for the estimation of probabilities and likelihoods which cannot be calculated by existing exact methods. In the case of discrete data, the underlying Markov chain may be reducible and care must be taken to ensure that reliable estimates are obtained. Potential reducibility thus has implications for the analysis of the mixed inheritance model, for example, where genetic variation is assumed to be due to one single locus of large effect and many loci each with a small effect. Similarly, reducibility arises in the detection of quantitative trait loci from incomplete discrete marker data. This paper aims to describe the estimation problem in terms of simple discrete genetic models and the single‐site Gibbs sampler. Reducibility of the Gibbs sampler is discussed and some current methods for circumventing the problem outlined. On se sert fréquemment des méthodes de chaines Markov Monte Carlo pour les analyses de données, gétiques sur des pedigress pour estimer les probabilités et les vraisemblances que ne peuvent pas étre calculées en se servant des méthodes exaxtes qui exstantes. Dans le cas de données discrétes, la chaine Markv sous‐jacente peut étre, réduite et il faut prendre soin de s' assurer que des estimations fiables sont obtenues. Le potentiel de réduction a done des implications pur I; analyse du modeéle mixte d' héritage. Par exemple dans le cas, oé'uon suppose que la variation est due á un locus avec grand effet et beaucoup de foyer avec un petit effet. Parallelement, la duction peut survenir dans la detection de trait quantitatif de foyer provenant de donnees incompletes de marqueur discret. Ce papier decrit le probleme d'estimation en termes de modeles ginttiques discrets simples et I'tchantillonneur Gibbs. La kduction de I'khantillonneur Gibbs est discutk et on esquisse certaines mCthodes existantes afin de contourner le probDme.

Date: 2000
References: Add references at CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
https://doi.org/10.1111/j.1751-5823.2000.tb00389.x

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:istatr:v:68:y:2000:i:1:p:83-110

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0306-7734

Access Statistics for this article

International Statistical Review is currently edited by Eugene Seneta and Kees Zeelenberg

More articles in International Statistical Review from International Statistical Institute Contact information at EDIRC.
Bibliographic data for series maintained by Wiley Content Delivery ().