On the asymptotic robustness of the likelihood ratio test in quantitative trait locus detection

Charles-Elie Rabier (1, 2)

1 MIAT INRA - Unité de Mathématiques et Informatique Appliquées de Toulouse
2 University of Wisconsin-Madison

We consider the likelihood ratio test (LRT) process related to the test of the absence of QTL (i.e. a gene with quantitative effect on a trait) on a chromosome. We consider two different recombination models. We prove that even if the LRT is constructed from the false recombination model (i.e. the model which does not correspond to the one of the data), the maximum of the LRT process converges asymptotically to the maximum of the LRT process constructed from the true recombination model. We also prove that under some conditions, the arg max of the LRT processes will be different.

Mots clés: chi-square process; hypothesis testing

Mots clés: Gaussian process; quantitative trait locus detection

Domaines: Mathématiques [math]; Informatique [cs]

Charles-Elie Rabier. On the asymptotic robustness of the likelihood ratio test in quantitative trait locus detection. Electronic Journal of Statistics , 2014, 8, pp.2138-2157. ⟨10.1214/14-EJS947⟩. ⟨hal-02629483⟩