On the asymptotic behavior of the estimate of the recombination fraction under the null hypothesis of no linkage when the model is misspecified
John Williamson, Christopher Ian Amos · Genetic Epidemiology · 1990
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.