Bivariate kurtotic distributions of garment fibre data

C. J. Hoggart, S. G. Walker, A. F.M. Smith

Research output: Contribution to journalReview articlepeer-review

2 Scopus citations

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 languageEnglish
Pages (from-to)323-335
Number of pages13
JournalJournal of the Royal Statistical Society. Series C: Applied Statistics
Volume52
Issue number3
DOIs
StatePublished - 2003

Keywords

  • Forensic science
  • Markov chain Monte Carlo methods
  • Scale mixtures of normal distribution
  • Uniform power distribution

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