منابع مشابه
CIRCULAR POLYA DISTRIBUTIONS OF ORDER k
Two circular Polya distributions of order k are derived bymeans of generalized urn models and by compounding, respectively, the type I and type II circular binomial distributions of order k of Makri and Philippou (1994) with the beta distribution. It is noted that the above two distributions include, as special cases, new circular hypergeometric, negative hypergeometric, and discrete uniform di...
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The deenition and elementary properties of Polya tree distributions are reviewed. Two theorems are presented showing that Polya trees can be constructed to concentrate arbitrarily closely about any desired pdf, and that Polya tree priors can put positive mass in every relative entropy neighborhood of every positive density with nite entropy, thereby satisfying a consistency condition. Such theo...
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Polya tree distributions extend the idea of the Dirichlet process as a prior for Bayesian nonparametric problems. Finite dimensional distributions are defined through conditional probabilities in P . This allows for a specification of prior information which carries greater weight where it is deemed appropriate according to the choice of a partition of the sample space. Muliere and Walker[7] co...
متن کاملBuilding asymmetry into circular distributions
Most of the tractable distributions currently available for modeling circular data are symmetric around a modal direction, prominent among them the von Mises distribution. Here we discuss a method of introducing asymmetry into any such symmetric circular model and develop general classes of non-symmetric circular distributions. In particular, we introduce and study a resulting variation of the ...
متن کاملTotal Embedding Distributions of Circular Ladders
where ai is the number of embeddings, for i = 0, 1, . . ., into the orientable surface Si, and bj is the number of embeddings, for j = 1, 2, . . ., into the non-orientable surface Nj . The sequence {ai(G)|i ≥ 0} ⋃ {bj(G)|j ≥ 1} is called the total embedding distribution of the graph G; it is known for relatively few classes of graphs, compared to the genus distribution {ai(G)|i ≥ 0}. The circul...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2003
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171203210553