ON WEIGHTED LINDLEY EXPONENTIAL DISTRIBUTION: A TWO PARAMETER MODEL
Keywords:
weighted Lindley exponential distribution, Lindley distribution, exponential distribution, weighted distribution, skewed distributionDOI:
https://doi.org/10.17654/0972361725011Abstract
This study introduces a novel probability distribution known as the two parameter weighted Lindley exponential distribution, denoted as $\operatorname{TWLE}(\theta, \beta)$. This distribution is derived as a specific instance of the weighted Lindley exponential distribution $W L E(\theta, \lambda, \alpha)$, 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 $\operatorname{TWLE}(\theta, \beta)$ distribution exhibits greater flexibility compared to other similar distributions.
Received: September 16, 2024
Accepted: November 23, 2024
References
A. Asgharzadeh, H. S. Bakouch, S. Nadarajah and F. Sharafi, A new weighted Lindley distribution with application, Braz. J. Probab. Stat. 30 (2016), 1-27.
M. G. Badar and A. M. Priest, Statistical aspects of fibre and bundle strength in hybrid composites, T. Hayashi, K. Kawata and S. Umekawa, eds., Progress in Science and Engineering Composites, ICCM-IV, Tokyo, 1982, pp. 1129-1136.
R. Bantan, M. Elsehetry, A. S. Hassan, M. Elgarhy, D. Sharma, C. Chesneau and F. Jamal, A two-parameter model: properties and estimation under ranked sampling, Mathematics 9(11) (2021), 1214.
D. Basalamah and B. Alruwaili, The weighted Lindley exponential distribution and its related properties, AIMS Mathematics 8(10) (2023), 24984-24998.
S. Chouia and H. Zeghdoudi, The XLindley distribution: properties and application, J. Stat. Theory Appl. 20(2) (2021), 318-327.
M. Ghitany, F. Alqallaf, D. K. Al-Mutairi and H. Husain, A two-parameter weighted Lindley distribution and its applications to survival data, Math. Comput. Simulation 81(6) (2011), 1190-1201.
R. D. Gupta and D. Kundu, Theory and methods: generalized exponential distributions, Aust. N. Z. J. Stat. 41(2) (1999), 173-188.
P. Lee, Survival Distributions: Reliability applications in the biomedical sciences, J. Roy. Statist. Soc. Ser. C 25 (1976), 303.
A. L. Mota, P. L. Ramos, P. H. Ferreira, V. L. Tomazella and F. Louzada, A reparameterized weighted Lindley distribution: properties, estimation and applications, Revista Colombiana de Estadística 44(1) (2021), 65-90.
R. Shanker et al., Sujatha distribution and its applications, Statistics in Transition, New Series 17(3) (2016), 391-410.
S. Wani and S. Shafi, Generalized Lindley-quasi Xgamma distribution, Journal of Applied Mathematics, Statistics and Informatics 17(1) (2016), 5-30.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Pushpa Publishing House, Prayagraj, India
This work is licensed under a Creative Commons Attribution 4.0 International License.
____________________________
Attribution: Credit Pushpa Publishing House as the original publisher, including title and author(s) if applicable.
No Derivatives: Modifying or creating derivative works not allowed without written permission.
Contact Pushpa Publishing House for more info or permissions.
Journal Impact Factor: 
