Sequences of elliptical distributions and mixtures of normal distributions

JOURNAL OF MULTIVARIATE ANALYSIS

卷:97

Article

Gómez-Sánchez-Manzano, E ; Gómez-Villegas, MA ; Marín, JM

关键词: Bayesian methods;    elliptically contoured distribution;    elliptical distribution;    Laplace transform;    scale mixtures of normal distributions;   

DOI  :  10.1016/j.jmva.2005.03.008

来源: Elsevier

【 摘 要 】

Two conditions are shown under which elliptical distributions are scale mixtures of normal distributions with respect to probability distributions. The issue of finding the mixing distribution function is also considered. As a unified theoretical framework, it is also shown that any scale mixture of normal distributions is always a term of a sequence of elliptical distributions, increasing in dimension, and that all the terms of this sequence are also scale mixtures of normal distributions sharing the same mixing distribution function. Some examples are shown as applications of these concepts, showing the way of finding the mixing distribution function. (C) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free