© 1999 by Biometrika Trust
Miscellanea. A multivariate family of distributions on (0,
)p
Department of Mathematics, Imperial College London, Huxley Building, 180 Queens Gate, London SW7 2BZ, UK A1 E-mail: s.walker@ic.ac.uk A2 E-mail: d.stephens@ic.ac.uk
In the context of parametric survival analysis, it is necessary to specify probability distributions on (0,
). Typically, the exponential, Weibull, gamma, Pareto or log-normal is used. However, attempts to generalise these distributions to a multivariate setting have proved problematic. This paper introduces a univariate family of distributions, called the beta-log-normal family, motivated by a mixture representation of some of the more typical distributions and which generalises naturally to the multivariate case.
Key Words: Bayesian inference; Log-normal distribution; Mixture representation; Weibull distribution