Neutrosophic Kumaraswamy Distribution with Engineering Application

Abstract

In this study, Neutrosophic Kumaraswamy (NKw) distribution was proposed to analyze bounded data sets under an indeterminacy environment. Mathematical properties of NKw distribution are derived including, moments, mean, variance, Shannon entropy, reliability measures. We also present the graphical representation of density curves, cumulative distribution function, and hazard rate function. The parameters of NKw distribution are estimated using the maximum likelihood technique. We perform a simulation study to see the performance of maximum likelihood estimates. Eventually, the proposed model is applied to real data set. It has been concluded that NKw distribution provides better results than Neutrosophic beta distribution.

Keywords

• neutrosophic
• indeterminacy
• kumaraswamy distribution
• mle
• simulation