TY  - JOUR
AU  - Gaire, Arjun Kumar 
AU  - Mohammad, Shahid 
AU  - Gurung, Yogendra Bahadur 
PY  - 2025
TI  - Enhancing Lifetime Data Modeling With the Modified Version of Weibull Distribution: A Comparative Approach
JF  - Journal of Mathematics and Statistics
VL  - 21
IS  - 1
DO  - 10.3844/jmssp.2025.17.27
UR  - https://thescipub.com/abstract/jmssp.2025.17.27
AB  - 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.