aspg-21-1964-1791472163 20261008150923 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2023 21 4 Mazin M. Alanaz Department of Operation Research and Intelligence Techniques, University of Mosul, Iraq Marwah Yahya Mustafa Department of Statistics and Informatics, University of Mosul, Mosul, Iraq Zakariya Yahya Algamal Department of Statistics and Informatics, University of Mosul, Mosul, Iraq In the field of survival analysis, the Lindley distribution is used to mimic methods used with human lifespan data. A variety of survival statistics with indeterminacies are intended to be characterized by the neutrosophic Lindley distribution (NLD). In example, modeling unknown data that is roughly positively skewed makes use of the established distribution. The neutrosophic survival function, neutrosophic hazard rate, and neutrosophic moments are three of the developed NLD's major statistical features that are discussed in this article. Additionally, the well-known maximum likelihood estimation method is used to estimate the neutrosophic parameters. A simulation study is conducted to see whether the projected neutrosophic parameters were attained. Not to mention that discussions of prospective NLD real-world applications have made use of actual data. To demonstrate how well the suggested model performed in comparison to the existing distributions, actual data were used. 2023 65 71 1964 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.210407 https://www.americaspg.com/journal/21/article/1964 https://www.americaspg.com/storage/11690570576.pdf