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The Bivariate Confluent Hypergeometric Series Distribution and Some of Its Properties
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C. Satheesh Kumar
Published/Copyright:
October 9, 2013
Abstract
In this paper we develop a bivariate version of the confluent hypergeometric series distribution through its probability generating function and study some of its properties by deriving its probability mass function, factorial moments, probability generating functions of its marginal and conditional distributions and recursion formulae for probabilities, raw moments and factorial moments. Further certain mixtures and limiting cases of this distribution are also obtained.
Keywords: Displaced Poisson distribution; factorial moments; hyper-Poisson distribution; Poisson distribution; probability generating function
Received: 2010-11-13
Published Online: 2013-10-9
Published in Print: 2013-10-1
© 2013 by Walter de Gruyter Berlin Boston
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Keywords for this article
Displaced Poisson distribution;
factorial moments;
hyper-Poisson distribution;
Poisson distribution;
probability generating function
Articles in the same Issue
- Masthead
- Masthead
- The Kumaraswamy Exponentiated Pareto Distribution
- Sequential Test for Poisson Distribution under Measurement Error
- Measurement Error Effect on the Power of Control Chart for the Ratio of Two Poisson Distributions
- The Bivariate Confluent Hypergeometric Series Distribution and Some of Its Properties
- Availability of a k-out-of-N:F System with Generally Distributed Repair Time and Preventive Maintenance
- Empirical Likelihood Based Control Charts
- Reliable Risk Analysis on the Example of Tsunami Heights
- An Application of EM Test for the Bayesian Change Point Problem
