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Taha Faeq Farhan
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Education Mathematics Other

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Estimating The Hazard Function for A Mixed Distribution Using the Genetic Algorithm with A Practical Application Taha Faeq Farhan
Jurnal Pendidikan Matematika Vol. 3 No. 1 (2025): November
Publisher : Indonesian Journal Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47134/ppm.v3i1.2081

Abstract

In this research, we presented the EKIW (Exponentiated Kumaraswamy Inverse Weibull) Distribution, which is a flexible distribution used in survival and reliability analysis. This distribution includes parameters (α, β, λ, η, θ). Statistical properties such as the hazard function, the quantile function, and the entropy measure were derived for this distribution. The research aims to estimate the hazard function based on one of the artificial intelligence algorithms, which is the genetic algorithm. It was compared with the maximum likelihood method. To prove the applicability of this distribution and which of the two methods is better, sample sizes (n=5, 15, 30, 80, 150) were generated using the comparison criterion, which is the integral mean square error (IMSE). The research also included a practical application for lung cancer patients obtained from the Medical City Hospital in 2025. The results showed that the hazard function's capabilities increased with increasing time of infection for the group of lung cancer patients under study. This is consistent with the theoretical properties of this function, as it is an increasing monotonic function
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