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On the asymptotic behavior of the estimate of the recombination fraction under the null hypothesis of no linkage when the model is misspecified

✍ Scribed by Dr. John A. Williamson; Christopher I. Amos

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
535 KB
Volume
7
Category
Article
ISSN
0741-0395

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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