Document Type : Original Article
Authors
1
Professor of Mathematics / Statistics, DEPARTMENT OF LIBERAL ARTS AND SCIENCES - Mathematics / Statistics, Miami Dade College, Hialeah Campus, 1780 West 49th Street, Fl. 33024, USA
2
Mirpur University of Science and Technology (MUST), 10250 Mirpur (AJK), Pakistan.
3
Department of Statistics, Mirpur University of Science and Technology (MUST), Mirpur, Pakistan
4
Department of Mathematics, Mirpur University of Science & Technology, Mirpur, Pakistan
5
Dept. of Stat., Ahmadu Bello University, Zaria, Nigeria
6
Barry University, Dept. of Math & Comp. Sc., Miami Shores, FL, USA
7
Department of Management Sciences, Professor Emeritus, Rider University, NJ, USA
8
Professor, Department of Mathematics and Statistics, Florida International University, FIU, Miami, USA
Abstract
The Rayleigh and error function distributions arise in many problems of applied and physical sciences. In this paper, we derive a skew type product Rayleigh-Error Function distribution by taking the product of the probability density function of Rayleigh distribution and the cumulative distribution function of the error function distribution. Several characteristics of the new distribution are presented by providing its distributional properties, namely, the expression for its probability density function, cumulative distribution function, hazard function, moments, and Shannon entropy. To discuss the behavior of the proposed distribution, the corresponding graphs of its probability density function, cumulative distribution function, and hazard function are provided. The percentage points are also computed. Some characterizations, estimation of parameters, and simulation are presented. Also, d two real-life environmental data applications are provided. We observed that our proposed skew type product Rayleigh-Error Function distribution fits reasonably well to the datasets considered. We believe that our proposed skew product model would be useful to the practitioners in various research fields of applied, physical, environmental and other sciences.
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