Bivariate kurtotic distributions of garment fibre data |
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Authors: | C J Hoggart S G Walker A F M Smith |
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Institution: | London School of Hygiene and Tropical Medicine, UK; University of Bath, UK; Queen Mary, University of London, UK |
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Abstract: | Summary. A bivariate and unimodal distribution is introduced to model an unconventionally distributed data set collected by the Forensic Science Service. This family of distributions allows for a different kurtosis in each orthogonal direction and has a constructive rather than probability density function definition, making conventional inference impossible. However, the construction and inference work well with a Bayesian Markov chain Monte Carlo analysis. |
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Keywords: | Forensic science Markov chain Monte Carlo methods Scale mixtures of normal distribution Uniform power distribution |
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