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Empirical likelihood‐based inference for genetic mixture models
Authors:Chiung‐Yu Huang  Jing Qin  Fei Zou
Institution:1. Biostatistics Research Branch National Institute of Allergy and Infectious Diseases National Institutes of Health Bethesda, MD 20892–7609, USA;2. Department of Biostatistics, University of North Carolina Chapel Hill, NC 27599, USA
Abstract:The authors show how the genetic effect of a quantitative trait locus can be estimated by a nonparametric empirical likelihood method when the phenotype distributions are completely unspecified. They use an empirical likelihood ratio statistic for testing the genetic effect and obtaining confidence intervals. In addition to studying the asymptotic properties of these procedures, the authors present simulation results and illustrate their approach with a study on breast cancer resistance genes.
Keywords:Empirical likelihood  interval mapping  nonparametric model  normal mixture model  profile likelihood  quantitative trait loci
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