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A New Compound Version of the Generalized Lomax Distribution for Modeling Failure and Service Times
Author(s):
1. S. I. Ansari: Department of statistics, Faculty of Science, University of Tabuk, Tabuk, Kingdom of Saudi Arabia, Department of Business Administration Azad Institute of Engineering and Technology, Lucknow, India
2. Rezk H.: Mathematical Sciences Department, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia. Department of Statistics, Al-Azhar University, Cairo, Egypt
3. Haitham M. Yousof: Department of Statistics, Mathematics and Insurance, Benha University, Egypt
Abstract:
The main goal of this article is to introduce a new extension of the continuous Lomax distribution with a strong physical motivation. Some of its statistical properties such as moments, incomplete moments, moment generating function, quantile function, random number generation, quantile spread ordering and moment of the reversed residual life are derived. Two applications are provided to illustrate the importance and flexibility of the new model.
Page(s): 95-107
Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 16, Issue: 1, Year: 2020
Keywords:
Moments , Generating Function , quantile function , Maximum Likelihood Estimation , Zero Truncated Poisson
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