Article ID: | iaor20118403 |
Volume: | 2 |
Issue: | 2 |
Start Page Number: | 99 |
End Page Number: | 99 |
Publication Date: | Jul 2006 |
Journal: | Pakistan Journal of Statistics and Operation Research |
Authors: | Habibullah Saleha Naghmi, Ahmad Munir |
Keywords: | statistics: distributions |
Inverted probability distributions find applications in various real – life situations including econometrics, survey sampling, biological sciences and life – testing. Closure under inversion implies that the reciprocal of a continuous random variable X has the same probability function as the original random variable, allowing for a possible change in parameter values. To date, only a very few probability distributions have been found to possess the closure property. In this paper, an attempt has been made to generate a class of distributions that are closed under inversion, and to develop some statistical properties of this class of distributions.