Some Aspects of Polya Tree Distributions for Statistical Modelling
Lavine, Michael
Ann. Statist., Tome 20 (1992) no. 1, p. 1222-1235 / Harvested from Project Euclid
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Polya tree distributions are defined. They are generalizations of Dirichlet processes that allow for the possibility of putting positive mass on the set of continuous distributions. Predictive and posterior distributions are explained. A canonical construction of a Polya tree is given so that the Polya tree has any desired predictive distribution. Choices of the Polya tree parameters are discussed. Mixtures of Polya trees are defined and examples are given.
Publié le : 1992-09-14
Classification:  Nonparametric Bayes,  Dirichlet processes,  tailfree processes,  62A15,  62G99 
@article{1176348767,
     author = {Lavine, Michael},
     title = {Some Aspects of Polya Tree Distributions for Statistical Modelling},
     journal = {Ann. Statist.},
     volume = {20},
     number = {1},
     year = {1992},
     pages = { 1222-1235},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176348767}
}

Lavine, Michael. Some Aspects of Polya Tree Distributions for Statistical Modelling. Ann. Statist., Tome 20 (1992) no. 1, pp.  1222-1235. http://gdmltest.u-ga.fr/item/1176348767/