A Bayesian approach to cluster analysis.

José M. Bernardo; F.Javier Girón

Qüestiió (1988)

  • Volume: 12, Issue: 1, page 97-112
  • ISSN: 0210-8054

Abstract

top
A general probabilistic model for describing the structure of statistical problems known under the generic name of cluster analysis, based on finite mixtures of distributions, is proposed. We analyse the theoretical and practical implications of this approach, and point out some open question on both the theoretical problem of determining the reference prior for models based on mixtures, and the practical problem of approximation that mixtures typically entail. Finally, models based on mixtures of normal distributions are analised with some detail.

How to cite

top

Bernardo, José M., and Girón, F.Javier. "A Bayesian approach to cluster analysis.." Qüestiió 12.1 (1988): 97-112. <http://eudml.org/doc/40132>.

@article{Bernardo1988,
abstract = {A general probabilistic model for describing the structure of statistical problems known under the generic name of cluster analysis, based on finite mixtures of distributions, is proposed. We analyse the theoretical and practical implications of this approach, and point out some open question on both the theoretical problem of determining the reference prior for models based on mixtures, and the practical problem of approximation that mixtures typically entail. Finally, models based on mixtures of normal distributions are analised with some detail.},
author = {Bernardo, José M., Girón, F.Javier},
journal = {Qüestiió},
keywords = {Análisis cluster; Aplicaciones; Análisis bayesiano; Familias conjugadas; approximation of distributions; cluster analysis; extended conjugate families; Kullback-Leibler divergence; mixture models},
language = {eng},
number = {1},
pages = {97-112},
title = {A Bayesian approach to cluster analysis.},
url = {http://eudml.org/doc/40132},
volume = {12},
year = {1988},
}

TY - JOUR
AU - Bernardo, José M.
AU - Girón, F.Javier
TI - A Bayesian approach to cluster analysis.
JO - Qüestiió
PY - 1988
VL - 12
IS - 1
SP - 97
EP - 112
AB - A general probabilistic model for describing the structure of statistical problems known under the generic name of cluster analysis, based on finite mixtures of distributions, is proposed. We analyse the theoretical and practical implications of this approach, and point out some open question on both the theoretical problem of determining the reference prior for models based on mixtures, and the practical problem of approximation that mixtures typically entail. Finally, models based on mixtures of normal distributions are analised with some detail.
LA - eng
KW - Análisis cluster; Aplicaciones; Análisis bayesiano; Familias conjugadas; approximation of distributions; cluster analysis; extended conjugate families; Kullback-Leibler divergence; mixture models
UR - http://eudml.org/doc/40132
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.