Abstract
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.
Original language | English |
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Pages (from-to) | 323-335 |
Number of pages | 13 |
Journal | Journal of the Royal Statistical Society. Series C: Applied Statistics |
Volume | 52 |
Issue number | 3 |
DOIs | |
State | Published - 2003 |
Keywords
- Forensic science
- Markov chain Monte Carlo methods
- Scale mixtures of normal distribution
- Uniform power distribution