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Likelihood ratio tests for genetic linkage

Statistics & Probability LettersPublished 1 April 1997
Mohamed Lemdani, Odile Pons
Citations21
SJR quartileQ2
SJR score0.48
SNIP0.94

TL;DR

Ad hoc reparametrizations are used to prove that the corresponding test statistics converge to the supremum of squared truncated Gaussian processes under the null hypothesis.

Abstract

Mixtures of binomial distributions are used to model linkage between genes and markers. In several classical models, we study the likelihood ratio test for linkage, which are homogeneity tests in mixture models. Using ad hoc reparametrizations, we prove that the corresponding test statistics converge to the supremum of squared truncated Gaussian processes under the null hypothesis.

Keywords

Computer ScienceMathematicsMedicine