@article {10.3844/jmssp.2025.17.27,
article_type = {journal},
title = {Enhancing Lifetime Data Modeling With the Modified Version of Weibull Distribution: A Comparative Approach},
author = {Gaire, Arjun Kumar and Mohammad, Shahid and Gurung, Yogendra Bahadur},
volume = {21},
year = {2025},
month = {Oct},
pages = {17-27},
doi = {10.3844/jmssp.2025.17.27},
url = {https://thescipub.com/abstract/jmssp.2025.17.27},
abstract = {This study introduces a new two-parameter univariate distribution, a modified version of the Weibull distribution, for a non-negative realm. Originating from a framework introduced by Azzalini and Capitanio, the distribution exhibits a monotonically increasing hazard rate. It offers closed-form expressions for key statistical properties, including reliability functions, moments, moment-generating functions, and order statistics. An expression for random number generation is formulated. The maximum likelihood is employed for parameter inference. A simulation study shows the reliability of these estimators under various conditions. To assess the model's practical applicability, it is fitted to two real-world datasets: waiting times and tensile strength of carbon fiber. Results from quantile-quantile plots and validity tools tests show that the proposed model outperforms compared to selected alternatives, which shows its superior flexibility and accuracy to fit real-world problems.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}