The Neutrosophic Negative Binomial Distribution: algorithms and practical application

Accepted - August 2024

Abstract

This paper introduces the negative binomial distribution using the novel concept of the neutrosophic random variable. It explores properties of the neutrosophic random variable based on measures such as expectation and variance, and outlines fundamental characteristics of the proposed negative binomial distribution. The paper proceeds to introduce algorithms for generating neutrosophic data based on this distribution. The application of the proposed negative binomial distribution is demonstrated in the context of oil exploration data, with comparative analysis against existing negative binomial distribution results from classical statistics. Extensive simulations and comparative studies reveal discrepancies between the outcomes obtained using the proposed distribution and those from the traditional negative binomial distribution in classical statistics. The study concludes that the proposed negative binomial distribution proves applicable in uncertain environments.