Electronic Journal of Statistics

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

Charles-Elie Rabier

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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.

Article information

Electron. J. Statist., Volume 8, Number 2 (2014), 2138-2157.

First available in Project Euclid: 29 October 2014

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60G15: Gaussian processes 62F03: Hypothesis testing 62F05: Asymptotic properties of tests

Gaussian process chi-square process hypothesis testing quantitative trait locus detection


Rabier, Charles-Elie. On the asymptotic robustness of the likelihood ratio test in quantitative trait locus detection. Electron. J. Statist. 8 (2014), no. 2, 2138--2157. doi:10.1214/14-EJS947. https://projecteuclid.org/euclid.ejs/1414588189

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