A Comparative Study of Trimmed L-Moments, Direct L-Moments, and Maximum Likelihood Estimation for the Inverse Weibull Distribution Under Type-I Right Censoring

This paper presents a comparative evaluation of three distinct methodologies for estimating the parameters of the Inverse Weibull distribution under Type-I right censoring: trimmed linear moments (using Type-AT and Type-BT variants), direct linear moments (using Type-AD and Type-BD variants), and maximum likelihood estimation. The performance of these methods is assessed through Monte Carlo simulations, focusing on estimation accuracy, relative absolute bias, and root mean square error to identify the most appropriate approach. The practical applicability of these techniques is demonstrated through a real-world dataset analysis.

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Publication Details

Journal
Symmetry
Published
2025-10-25
DOI
https://doi.org/10.3390/sym17111801
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

A Comparative Study of Trimmed L-Moments, Direct L-Moments, and Maximum Likelihood Estimation for the Inverse Weibull Distribution Under Type-I Right Censoring

Hager A. Ibrahim, Ahmed R. El‐Saeed
Symmetry
Statistical Distribution Estimation and Applications
article

A Comparative Study of Trimmed L-Moments, Direct L-Moments, and Maximum Likelihood Estimation for the Inverse Weibull Distribution Under Type-I Right Censoring

Hager A. Ibrahim, Ahmed R. El‐Saeed
article en

Abstract

This paper presents a comparative evaluation of three distinct methodologies for estimating the parameters of the Inverse Weibull distribution under Type-I right censoring: trimmed linear moments (using Type-AT and Type-BT variants), direct linear moments (using Type-AD and Type-BD variants), and maximum likelihood estimation. The performance of these methods is assessed through Monte Carlo simulations, focusing on estimation accuracy, relative absolute bias, and root mean square error to identify the most appropriate approach. The practical applicability of these techniques is demonstrated through a real-world dataset analysis.

SymmetryVol. 17(11)
Imam Mohammad ibn Saud Islamic University (SA), Higher Institute of Engineering (EG), Cairo Higher Institute (EG), Badr University in Cairo (EG)
Al-Imam Muhammad Ibn Saud Islamic University
Openalex Percentile: Top 71%
Statistical Distribution Estimation and Applications
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