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Abstract
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.
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.
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How to Cite
Habibullah, S. N., & Ahmad, M. (2006). On a New Class of Univariate Continuous Distributions that are Closed Under Inversion. Pakistan Journal of Statistics and Operation Research, 2(2), 151-158. https://doi.org/10.18187/pjsor.v2i2.99