Order k Version of the Alternative Hyper-Poisson Distribution

Kumar C. Satheesh () and Nair B. Unnikrishnan
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Kumar C. Satheesh: University of Kerala, Trivandrum -695 581, India
Nair B. Unnikrishnan: University of Kerala, Trivandrum -695 581, India

Stochastics and Quality Control, 2013, vol. 28, issue 2, 97-104

Abstract: In this paper we develop an order k version of the alternative hyper-Poisson distribution of Kumar and Nair (Statistica, 2012) and study some of its important properties such as its probability mass function, first moment, variance and recurrence relations for its probabilities, raw moments and factorial moments. The estimation of the parameters of this class of distribution by various methods of estimation is also considered and demonstrated with the help of a real data set.

Keywords: Confluent hypergeometric series; Displaced Poisson; distribution; Factorial moments; Poisson distribution of order k; Probability generating function; Confluent hypergeometric series; Displaced Poisson; distribution; Factorial moments; Poisson distribution of order k; Probability generating function (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1515/eqc-2013-0017

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