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Symmetry
Volume 17
Issue 11
10.3390/sym17111801
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
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

by
Hager Ahmad Ibrahim
1,* and
Ahmed R. El-Saeed
2
1
Department of Basic Sciences, Higher Institute of Information Technology Badr City, Cairo 11829, Egypt
2
Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
*
Author to whom correspondence should be addressed.
Symmetry 2025, 17(11), 1801; https://doi.org/10.3390/sym17111801 (registering DOI)
Submission received: 18 September 2025 / Revised: 22 October 2025 / Accepted: 23 October 2025 / Published: 25 October 2025
(This article belongs to the Section Mathematics)
Versions Notes

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.
Keywords: direct linear moments; inverse Weibull distribution; maximum likelihood; trimmed linear moments; Type-I right censoring direct linear moments; inverse Weibull distribution; maximum likelihood; trimmed linear moments; Type-I right censoring

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MDPI and ACS Style

Ibrahim, H.A.; El-Saeed, A.R. A Comparative Study of Trimmed L-Moments, Direct L-Moments, and Maximum Likelihood Estimation for the Inverse Weibull Distribution Under Type-I Right Censoring. Symmetry 2025, 17, 1801. https://doi.org/10.3390/sym17111801

AMA Style

Ibrahim HA, El-Saeed AR. A Comparative Study of Trimmed L-Moments, Direct L-Moments, and Maximum Likelihood Estimation for the Inverse Weibull Distribution Under Type-I Right Censoring. Symmetry. 2025; 17(11):1801. https://doi.org/10.3390/sym17111801

Chicago/Turabian Style

Ibrahim, Hager Ahmad, and Ahmed R. El-Saeed. 2025. "A Comparative Study of Trimmed L-Moments, Direct L-Moments, and Maximum Likelihood Estimation for the Inverse Weibull Distribution Under Type-I Right Censoring" Symmetry 17, no. 11: 1801. https://doi.org/10.3390/sym17111801

APA Style

Ibrahim, H. A., & El-Saeed, A. R. (2025). A Comparative Study of Trimmed L-Moments, Direct L-Moments, and Maximum Likelihood Estimation for the Inverse Weibull Distribution Under Type-I Right Censoring. Symmetry, 17(11), 1801. https://doi.org/10.3390/sym17111801

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