International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2371 2020 2020 Neutrosophic Beta-Lindley distribution: Mathematical properties and modeling bladder cancer data Department of Statistics and Informatics, University of Mosul, Mosul, Iraq Zakariya Yahya Algamal Department of Statistics and Informatics, University of Mosul, Mosul, Iraq Nada Nazar Alobaidi Department of Economics, College of Administration and Economics, University of Anbar, Anbar, Iraq Abed Ali Hamad Department of Operation Research and Intelligence Techniques, University of Mosul, Iraq Mazin M. Alanaz Department of Statistics and Informatics, University of Mosul, Mosul, Iraq Marwah Yahya Mustafa The beta-Lindley distribution is used in the field of survival analysis to imitate techniques employed with human lifetime data. The neutrosophic beta-Lindley distribution (NBL) is designed to characterize a range of survival statistics with indeterminacies. The established distribution is used, for instance, to describe unknown data that is roughly favorably skewed. The evolved NBL's three main statistical characteristics—the neutrosophic moments, hazard, and survival functions are covered in this article. Additionally, The well-known maximum likelihood estimation method is used to estimate the neutrosophic parameters. To check if the predicted neutrosophic parameters were met, a simulation study was done. Notably, talks of prospective NBL uses in the real world have made use of actual data. Actual data were utilized to show how well the suggested model performed in compared to the current distributions. 2024 2024 186 194 10.54216/IJNS.230215 https://www.americaspg.com/articleinfo/21/show/2371