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Volume 48, Issue 1 (January 2020)
Special Issue Paper
A New Family of Distributions Based on a Poly-Exponential Transformation
(Received 12 July 2018; accepted 12 December 2018)
Published Online: 2020
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In this article, we propose a new generator of distributions based on a polynomial-exponential transformation of an existing cumulative distribution function. It naturally arises when we deal with parallel-series systems. We study some of its mathematical properties, including moments, a moment generating function, some measures of uncertainty, and a distribution of order statistics. Maximum likelihood estimation along with an extensive simulation study is discussed. The applicability of some submodels of the family is illustrated by means of two hydrologic data sets over existing distributions.
Department of Mathematics, Laboratoire de Mathæmatiques Nicolas Oresme, University of Caen, Caen,
Bakouch, Hassan S.
Department of Mathematics, Faculty of Science, Tanta University, Tanta,
Sharma, Vikas Kumar
Department of Mathematics, Institute of Infrastructure Technology, Research and Management (IITRAM), Ahmedabad, Gujarat
Stock #: JTE20180474
Title A New Family of Distributions Based on a Poly-Exponential Transformation