Neutrosophic Generalized Rayleigh Distribution with Application

Abstract

. In this paper, we consider the neutrosophic generalized Rayleigh distribution (NGRD). Various
neutrosophic properties of NGRD are developed and discussed. The developed distribution is specifically more
useful to model indeterminate data which are skewed lifetime data. Also, the neutrosophic parameters are
estimated using the well-known method of maximum likelihood (ML) estimation based on a neutrosophic
environment. A simulation study is carried out to establish the achievement of the estimated neutrosophic
parameters. As a final point, the proposed NGRD applications in the real world have been discussed with the
help of real data. A comparative studies also carried out with some recent proposed neutrosophic distributions