Bayesian inference in mixtures: approximate methods.

Enrique Caro; Juan Ignacio Domínguez; Francisco Javier Girón

Trabajos de Estadística (1991)

  • Volume: 6, Issue: 1, page 89-106
  • ISSN: 0213-8190

Abstract

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The problem of approximating mixtures of distributions has received considerable attention recently. In this paper we consider problems of estimating the mixing proportions of a finite mixture from a Bayesian perspective. The problems which arise from this methodology are basically approximations of finite measures of distributions. We propose two approximating methods and prove that under certain conditions both methods are asymptotically equivalent to a third method, which turns out to be simpler and computationally more efficient than the others. The paper concludes with a simulation study which analyses the goodness of the three methods with respect to the exact solution.

How to cite

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Caro, Enrique, Domínguez, Juan Ignacio, and Girón, Francisco Javier. "Inferencia bayesiana en mixturas: métodos aproximados.." Trabajos de Estadística 6.1 (1991): 89-106. <http://eudml.org/doc/40552>.

@article{Caro1991,
author = {Caro, Enrique, Domínguez, Juan Ignacio, Girón, Francisco Javier},
journal = {Trabajos de Estadística},
keywords = {Inferencia bayesiana; Conglomerados; Aprendizaje; Aproximación; Simulación; approximations; Kullback-Leibler divergence; method of moments; simulation; finite mixtures of distributions},
language = {spa},
number = {1},
pages = {89-106},
title = {Inferencia bayesiana en mixturas: métodos aproximados.},
url = {http://eudml.org/doc/40552},
volume = {6},
year = {1991},
}

TY - JOUR
AU - Caro, Enrique
AU - Domínguez, Juan Ignacio
AU - Girón, Francisco Javier
TI - Inferencia bayesiana en mixturas: métodos aproximados.
JO - Trabajos de Estadística
PY - 1991
VL - 6
IS - 1
SP - 89
EP - 106
LA - spa
KW - Inferencia bayesiana; Conglomerados; Aprendizaje; Aproximación; Simulación; approximations; Kullback-Leibler divergence; method of moments; simulation; finite mixtures of distributions
UR - http://eudml.org/doc/40552
ER -

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