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.
Authors
- Hager A. Ibrahim (ORCID: https://orcid.org/0000-0003-4548-9420)
- Ahmed R. El‐Saeed (ORCID: https://orcid.org/0000-0001-8303-1782)
Institutions
- Imam Mohammad ibn Saud Islamic University (SA)
- Higher Institute of Engineering (EG)
- Cairo Higher Institute (EG)
- Badr University in Cairo (EG)
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
Funders
- Al-Imam Muhammad Ibn Saud Islamic University