Asymptotic Distribution of the Likelihood Ratio Test That a Mixture of Two Binomials is a Single Binomial

@inproceedings{Chernoff1995AsymptoticDO,
  title={Asymptotic Distribution of the Likelihood Ratio Test That a Mixture of Two Binomials is a Single Binomial},
  author={Herman Chernoff and Eric S. Lander},
  year={1995}
}
A problem of interest in genetics is that of testing whether a mixture of two binomial distributions B i (k, p) and B i (k, 1/2) is simply the pure distribution B i (k, 1/2). This problem arises in determining whether we have a genetic marker for a gene responsible for a heterogeneous trait, that is a trait which is caused by any one of several genes. In that event we would have a nontrivial mixture involving 0 2. We present an approach where use is made of the Kullback Leibler Information, of… CONTINUE READING
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