A Moment Preserving Finitization Across the Power Series Family of Probability Distributions |
| |
Authors: | Martin S Levy Saeed Golnabi |
| |
Institution: | 1. University of Cincinnati , Cincinnati , Ohio , USA;2. Optimum Office Solutions , Lawrenceville , Georgia , USA |
| |
Abstract: | Finitization transforms a discrete distribution into a distribution with smaller support of specified size. In special cases finitization preserves moments (moments of the order n finitization coincide with those of the parent distribution). We create a moment preserving finitization method for power series distributions by introducing an alternative representation and showing how to finitize members of this new class in a manner that preserves moments of the parent distribution. We provide results on convolutions and a reproductive property for power series distributions that have been finitized in this manner, and show how these finitized distributions accelerate variate generation in simulation. |
| |
Keywords: | Finitization Moments Poisson distribution Power series family of distributions Taylor series expansion |
|
|