Circular Polya distributions of order \(k\)
type: Item
instance of: scholarly article
title: Circular Polya distributions of order \(k\)
zbMATH Open document ID: 1012.62013
DOI: 10.1155/S0161171203210553
author: G. Tripsiannis
author: Andreas N. Philippou
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-06-18T00:00:00Z
full work available at URL: https://eudml.org/doc/50041
review text: Summary: Two circular Polya distributions of order \(k\) are derived by means of generalized urn models and by compounding, respectively, the type I and type II circular binomial distributions of order \(k\) of \textit{F.S. Makri} and \textit{A.N. Philippou} [A.P. Godbole et al. (eds.), Runs and Patterns in Probability. Math. Appl., Dordr. 283, 65-81 (1994; Zbl 0831.60094)] with the beta distribution. It is noted that the above two distributions include, as special cases, new circular hypergeometric, negative hypergeometric, and discrete uniform distributions of the same order and type. The means of the new distributions are obtained and two asymptotic results are established relating them to the above-mentioned circular binomial distributions of order \(k\).
Mathematics Subject Classification ID: 62E10
Mathematics Subject Classification ID: 60C05
Mathematics Subject Classification ID: 62E20
zbMATH DE Number: 1930047
Wikidata QID: Q56010511
MaRDI profile type: Publication
OpenAlex ID: W2121566774
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description: scientific article; zbMATH DE number 1930047