TY  - JOUR
AU  - Sen, Pali 
AU  - Patterson, Richard F. 
PY  - 2005
TI  - A General Probability Distribution Using Burmann Power Series
JF  - Journal of Mathematics and Statistics
VL  - 1
IS  - 3
DO  - 10.3844/jmssp.2005.189.193
UR  - https://thescipub.com/abstract/jmssp.2005.189.193
AB  - The goal of this study 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.