Comparison Between Maximum Likelihood and Maximum Entropy Estimation Methods for Reliability of IDAL Distribution

IDAL distribution is based on expanding the exponential Weibull distribution by adding a IDAL distribution is based on expanding the exponential Weibull distribution by adding a third parameter, which is a shape parameter, to the exponential-Weibull distribution. This modification was done in order to create models that are more flexible and realistic. The IDAL distribution is characterized by three parameters, which are the scale parameter and two shape parameters. Estimating the reliability for a Noval distribution. The unknown parameters of its distribution have been estimated which have the first of these methods is the Maximum Likelihood Estimate (MLE) method, followed by the Maximum Entropy Estimation (MEE) method. A comparison of the outcomes and results of the applied methods has been carried out through data analysis and computer simulation between the estimating methods based on the applicable indicator mean square error (MSE) to investigate which way is the most effective. Additionally, the data that were observed have been displayed through the use of the MATLAB software package

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Journal
Ibn AL- Haitham Journal For Pure and Applied Science
Published
2026-01-20
DOI
https://doi.org/10.30526/39.1.4203
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Comparison Between Maximum Likelihood and Maximum Entropy Estimation Methods for Reliability of IDAL Distribution

Iden Hassan Alkanani, Alaa M. Hamad
Ibn AL- Haitham Journal For Pure and Applied Science
Statistical Distribution Estimation and Applications
article

Comparison Between Maximum Likelihood and Maximum Entropy Estimation Methods for Reliability of IDAL Distribution

Iden Hassan Alkanani, Alaa M. Hamad
article en

Abstract

IDAL distribution is based on expanding the exponential Weibull distribution by adding a IDAL distribution is based on expanding the exponential Weibull distribution by adding a third parameter, which is a shape parameter, to the exponential-Weibull distribution. This modification was done in order to create models that are more flexible and realistic. The IDAL distribution is characterized by three parameters, which are the scale parameter and two shape parameters. Estimating the reliability for a Noval distribution. The unknown parameters of its distribution have been estimated which have the first of these methods is the Maximum Likelihood Estimate (MLE) method, followed by the Maximum Entropy Estimation (MEE) method. A comparison of the outcomes and results of the applied methods has been carried out through data analysis and computer simulation between the estimating methods based on the applicable indicator mean square error (MSE) to investigate which way is the most effective. Additionally, the data that were observed have been displayed through the use of the MATLAB software package

Ibn AL- Haitham Journal For Pure and Applied ScienceVol. 39(1)
University of Baghdad (IQ)
University of Baghdad
Openalex Percentile: Top 65%
Statistical Distribution Estimation and Applications
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Comparison Between Maximum Likelihood and Maximum Entropy Estimation Methods for Reliability of IDAL Distribution — Iden Hassan Alkanani, Alaa M. Hamad · Ibn AL- Haitham Journal For Pure and Applied Science (2026) | TGRS Research Map | TGRS