title: On the asymptotic behavior of the estimate of the recombination fraction under the null hypothesis of no linkage when the model is misspecified.
abstract: We show that under the null hypothesis of no linkage the maximum likelihood estimator of the recombination fraction converges to 1/2 even when the trait-related parameter values in the likelihood function are misspecified. Furthermore, we show that under the null hypothesis of no linkage, but with misspecified trait-related parameter values, the negative of twice the natural logarithm of the likelihood ratio statistic still has a limiting chi-square distribution with 1 degree of freedom.
authors: Department of Mathematics, University of Colorado, Boulder 80309.
authors: J A
authors: JA
authors: Williamson
authors: C I
authors: CI
authors: Amos
mesh_terms: D016009:Chi-Square Distribution; D008040:Genetic Linkage / Q000235:genetics*; D005821:Genetic Techniques; D006801:Humans; D008433:Mathematics; D008957:Models, Genetic; D010375:Pedigree; D011995:Recombination, Genetic