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Likelihood ratio tests for genetic linkage

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  • Lemdani, Mohamed
  • Pons, Odile

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.

Suggested Citation

  • Lemdani, Mohamed & Pons, Odile, 1997. "Likelihood ratio tests for genetic linkage," Statistics & Probability Letters, Elsevier, vol. 33(1), pages 15-22, April.
    • Handle: RePEc:eee:stapro:v:33:y:1997:i:1:p:15-22
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    Citations

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    Cited by:

    1. Hiroyuki Kasahara & Katsumi Shimotsu, 2012. "Testing the Number of Components in Finite Mixture Models," CIRJE F-Series CIRJE-F-867, CIRJE, Faculty of Economics, University of Tokyo.
    2. Yang Ning & Yong Chen, 2015. "A Class of Pseudolikelihood Ratio Tests for Homogeneity in Exponential Tilt Mixture Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 42(2), pages 504-517, June.
    3. Chong-Zhi Di & Kung-Yee Liang, 2011. "Likelihood Ratio Testing for Admixture Models with Application to Genetic Linkage Analysis," Biometrics, The International Biometric Society, vol. 67(4), pages 1249-1259, December.
    4. Wu, Yanhong & Xu, Yongxia, 2000. "Local likelihood ratio tests in the normal mixture model," Statistics & Probability Letters, Elsevier, vol. 50(4), pages 323-329, December.
    5. Ning, Wei & Zhang, Sanguo & Yu, Chang, 2009. "A moment-based test for the homogeneity in mixture natural exponential family with quadratic variance functions," Statistics & Probability Letters, Elsevier, vol. 79(6), pages 828-834, March.
    6. Hiroyuki Kasahara & Katsumi Shimotsu, 2017. "Testing the Order of Multivariate Normal Mixture Models," CIRJE F-Series CIRJE-F-1044, CIRJE, Faculty of Economics, University of Tokyo.
    7. Yu Hao & Hiroyuki Kasahara, 2022. "Testing the Number of Components in Finite Mixture Normal Regression Model with Panel Data," Papers 2210.02824, arXiv.org, revised Jun 2023.
    8. Andrew Sweeting, 2005. "Coordination Games, Multiple Equilibria and the Timing of Radio Commercials," 2005 Meeting Papers 490, Society for Economic Dynamics.

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