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A short note on conway-Maxwell-Hyper Poisson distribution.
Author(s):
1. Munir Ahmad: National College of Business Administration & Economics, Lahore, Pakistan
Abstract:
Shmueli et al. (2005) have generalized Conway and Maxwell (1962) one-parameter Poisson distribution to a two parameter distribution called Conway-Maxwell-Poisson (CMP) distribution, discussed some of its properties and have fitted the CMP distribution to non-Poisson count data. In this paper, we have found a natural extension of two­parameter CMP to three-parameter distribution, which may be called Conway-Maxwell­Hyper-Poisson distribution (CMHP). We have discussed some additional moment properties. Using the property of proportionality of probabilities, we characterize CMHP and other special distributions.
Page(s): 135-137
DOI: DOI not available
Published: Journal: Pakistan Journal of Statistics, Volume: 23, Issue: 2, Year: 2007
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