Neutrosophic Beta-Lindley distribution: Mathematical properties and modeling bladder cancer data

Abstract

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.