This study introduces a novel probability distribution known as the two parameter weighted Lindley exponential distribution, denoted as  This distribution is derived as a specific instance of the weighted Lindley exponential distribution  thereby justifying the chosen naming. This study proposes the consideration of statistical and mathematical properties such as the hazard function, moments, central moments, and the maximum likelihood technique. The model was implemented using real-world data and subsequently evaluated against its fit, revealing its commendable fitting abilities  and its superiority over other existing models. The proposed model demonstrates promising effectiveness in data modeling across diverse applied fields, such as medicine, economics, dependability, life testing, and engineering, among others. The results indicate that the  distribution exhibits greater flexibility compared to other similar distributions.

weighted Lindley exponential distribution, Lindley distribution, exponential distribution, weighted distribution, skewed distribution

Received: September 16, 2024; Accepted: November 23, 2024; Published: December 12, 2024

How to cite this article: Doaa Basalamah, On weighted Lindley exponential distribution: a two parameter model, Advances and Applications in Statistics 92(2) (2025), 211-230. https://doi.org/10.17654/0972361725011

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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