Estimate the Survival Function of the Power Lomax (POLO) Distribution by Using the Simulated Annealing Algorithm

Authors

  • Mustafa A. Al-Saaedy Department of Internal Affairs Departments, University of Baghdad, Baghdad-Iraq
  • Emad H. Aboudi Department of Statistics, College of Administration and Economics, University of Baghdad, Baghdad-Iraq

Keywords:

The power Lomax distribution, POLO, Maximum likelihood method, The moment method, Simulated annealing algorithm, IMSE

Abstract

In this paper the survival function of the Power Lomax distribution is estimated by two methods of estimation, which are the maximum likelihood method and the moment method. The obtained estimators contain non-linear equations that cannot be solved by ordinary mathematical methods and do not represent the estimations clearly, so a simulated annealing algorithm was used to solve this problem, then simulation was used to compare the estimation methods based on the statistical comparison criterion mean squares of integral error (IMSE) and to get the best estimator for survival function. The results show the preference the maximum likelihood method than the moment method.

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Published

2022-03-27

Issue

Section

Articles

How to Cite

(1)
Estimate the Survival Function of the Power Lomax (POLO) Distribution by Using the Simulated Annealing Algorithm. ANJS 2022, 25 (1), 30-34.