Length Biased Burr-III Distribution for Modeling the Glass and Carbon Fiber Strength
Abstract
This paper introduces the length-biased Burr III (LBBIII) distribution, derived by applying a length-biased weighting scheme to the standard two-parameter Burr III distribution. The model is particularly suitable for lifetime and strength data, where the probability of observing an event is proportional to its magnitude. Most of its statistical and reliability properties were derived. Four estimation methods are examined and a simulation study evaluates the finite-sample performance of these estimators. The practical utility of the LBBIII distribution is demonstrated using two real datasets on glass and carbon fiber strength. The proposed distribution consistently outperforms the standard Burr-III and some well-known distributions. These findings establish the LBBIII distribution as a flexible and superior model for length-biased reliability and strength data.
Fields of Study & Subjects
Statistical Distribution Estimation and Applications
Reliability and Maintenance Optimization
Probabilistic and Robust Engineering Design
Publication details
- Journal / source
- Asian Journal of Probability and Statistics
- Publisher
- Sciencedomain International
- Volume
- 28
- Issue
- 5
- Pages
- 1–14
- Publication date
- 18 April 2026
- Language
- EN