ON WEIGHTED LINDLEY EXPONENTIAL DISTRIBUTION: A TWO PARAMETER MODEL

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.