Counting Methods (EM algorithm) in Human Pedigree Analysis: Linkage and Segregation Analysis.

J. Ott

Annals of Human Genetics , 40(4), 443--454 (1977 May)

Abstract

The likelihood of human pedigree data can be written in such a form as to allow the computation of derivatives. This is done for various parameters in linkage and segregation analysis. The equations for the maximum likelihood estimates are represented in a particularly appealing form which allows iterative solutions. This process is an extension to pedigress of Smith's (1957) counting methods. All these procedures belong to a general class of MLE methods for incomplete data called EM algorithms (Dempster et al. 1976).