Electronic Journal of Statistics

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

Charles-Elie Rabier

Full-text: Open access

Abstract

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

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

Dates
First available in Project Euclid: 29 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.ejs/1414588189

Digital Object Identifier
doi:10.1214/14-EJS947

Mathematical Reviews number (MathSciNet)
MR3273621

Zentralblatt MATH identifier
1348.92112

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

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

Citation

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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