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Circular Polya distributions of order k

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  • Gregory A. Tripsiannis
  • Andreas N. Philippou

Abstract

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 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 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 .

Suggested Citation

  • Gregory A. Tripsiannis & Andreas N. Philippou, 2003. "Circular Polya distributions of order k," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-13, January.
    • Handle: RePEc:hin:jijmms:636348
    DOI: 10.1155/S0161171203210553
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