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The multivariate Dirichlet-multinomial distribution and its application in forensic genetics to adjust for subpopulation effects using the θ-correction

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  • Tvedebrink, Torben
  • Eriksen, Poul Svante
  • Morling, Niels

Abstract

In this paper, we discuss the construction of a multivariate generalisation of the Dirichlet-multinomial distribution. An example from forensic genetics in the statistical analysis of DNA mixtures motivates the study of this multivariate extension.

Suggested Citation

  • Tvedebrink, Torben & Eriksen, Poul Svante & Morling, Niels, 2015. "The multivariate Dirichlet-multinomial distribution and its application in forensic genetics to adjust for subpopulation effects using the θ-correction," Theoretical Population Biology, Elsevier, vol. 105(C), pages 24-32.
    • Handle: RePEc:eee:thpobi:v:105:y:2015:i:c:p:24-32
    DOI: 10.1016/j.tpb.2015.08.004
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    References listed on IDEAS

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    1. Torben Tvedebrink & Poul Svante Eriksen & Helle Smidt Mogensen & Niels Morling, 2010. "Evaluating the weight of evidence by using quantitative short tandem repeat data in DNA mixtures," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(5), pages 855-874, November.
    2. W. M. Patefield, 1981. "An Efficient Method of Generating Random R × C Tables with Given Row and Column Totals," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 30(1), pages 91-97, March.
    3. R. G. Cowell & T. Graversen & S. L. Lauritzen & J. Mortera, 2015. "Analysis of forensic DNA mixtures with artefacts," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 64(1), pages 1-48, January.
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    Cited by:

    1. Peter J. Green & Julia Mortera, 2021. "Inference about complex relationships using peak height data from DNA mixtures," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 70(4), pages 1049-1082, August.

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