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Activity Number: 481
Type: Contributed
Date/Time: Wednesday, August 9, 2006 : 2:00 PM to 3:50 PM
Sponsor: General Methodology
Abstract - #306756
Title: A General Probability Distribution Using Bürmann Power Series
Author(s): Pali Sen*+ and Richard F. Patterson
Companies: University of North Florida and University of North Florida
Address: Department of Math and Statistics, Jacksonville, FL, 32224,
Keywords: binomial distribution ; moment generating function ; maximum likelihood estimators ; Poisson distribution
Abstract:

The goal of this paper is to present a general power series distribution that exhibits the properties of some well known distributions. To accomplish this goal we examine an infinite sequence of independent random variables having a Bürmann's power series distribution. Consequently, we derive moment generating function of the distribution and establish the maximum likelihood estimate of the component that can be attributed to the parameter of the distribution. Using the results mentioned above we verify our conjecture on two known parametric discrete distributions, the Poisson and the Binomial.

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