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Likelihood ratio tests for genetic linkage


  • Lemdani, Mohamed
  • Pons, Odile


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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    References listed on IDEAS

    1. Masry, Elias & Györfi, László, 1987. "Strong consistency and rates for recursive probability density estimators of stationary processes," Journal of Multivariate Analysis, Elsevier, vol. 22(1), pages 79-93, June.
    2. Andrew Harvey (ed.), 1994. "Time Series," Books, Edward Elgar Publishing, volume 0, number 599.
    3. Ioannides, D. & Roussas, G. G., 1987. "Note on the uniform convergence of density estimates for mixing random variables," Statistics & Probability Letters, Elsevier, vol. 5(4), pages 279-285, June.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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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