Employing meta-heuristic algorithm for estimating the survival function of inverse kumaraswamy distribution

Bayda Atiya Kalaf; Feras Sh. M. Batah; Abbas N. Salman

Author(s)

Bayda Atiya Kalaf Department of Mathematics, College of Education for Pure Sciences, Ibn Al-Haitham, University of Baghdad,Baghdad, Iraq

Feras Sh. M. Batah Department of Mathematics, College of Education for Pure Science, University of Anbar, Anbar, Iraq

Abbas N. Salman Department of Mathematics, College of Education for Pure Sciences, Ibn Al-Haitham, University of Baghdad,Baghdad, Iraq

Abstract

For the creation of mathematical models, parameter estimation is crucial in many different domains. Therefore, this paper suggests a new estimation technique related to Meta-heuristic (M-H) algorithms and specifically Particular Swarm Optimization which will be mixed with Maximum Likelihood Estimation (PSOMLE) to estimate the parameters as well as the survival function of Inverse Kumaraswamy Distribution. For determine the effectiveness of the suggested estimator (PSOMLE), a simulation study was considered and make a comparison between the considered estimator with the maximum likelihood (MLE) Based on Mean Squared Error. The findings showed that the suggested estimator (PSOMLE) provides accurate and satisfactory estimates for the survival function. Since it has less Mean Squared Error than Maximum Likelihood Estimation.

Publication Details

Page(s) 151-162

DOI DOI not available

Published Journal: Pakistan Journal of Statistics, Volume: 40, Issue: 2, Year: 2024

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Keywords

maximum likelihood method, Inverse Kumaraswamy Distribution, Particular Swarm Optimization, Mean Squared Error and Simulation., Survival Functions

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