Abstract

Discrete Laplace mixture model with applications in forensic genetics

Highlights

  • Estimating haplotype frequencies is important in e.g. forensic genetics, where the frequencies are used to calculate the likelihood ratio for the evidential weight of a DNA profile found at a crime scene (Andersen, Eriksen, and Morling 2013; Steele and Balding 2015)

  • Estimation is naturally based on a population model, motivating the investigation of the Fisher-Wright model (Fisher 1930; Wright 1931; Ewens 1972; Ohta and Kimura 1973) of evolution for haploid lineage DNA markers

  • An exponential family called the ‘discrete Laplace distribution’ was described in (Andersen, Eriksen, and Morling 2013) that illustrates how well the discrete Laplace distribution approximates a more complicated distribution that arises by investigating the well-known population genetic Fisher-Wright model of evolution by a single-step mutation process (Caliebe et al 2010)

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Summary

Introduction

(and still are) used by multiple groups for e.g. frequency estimation (Andersen, Eriksen, and Morling 2013; S Willuweit and Roewer 2015; S. Willuweit et al 2018; Roewer and Willuweit 2018; Egeland, Kling, and Mostad 2016; Cereda et al 2014; Cereda ative Commons Attribution 4.0 In- 2017), cluster analysis (Andersen, Eriksen, and Morling 2014), and mixture interpretation ternational License (CC-BY). (and still are) used by multiple groups for e.g. frequency estimation Willuweit et al 2018; Roewer and Willuweit 2018; Egeland, Kling, and Mostad 2016; Cereda et al 2014; Cereda ative Commons Attribution 4.0 In- 2017), cluster analysis (Andersen, Eriksen, and Morling 2014), and mixture interpretation ternational License (CC-BY).

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