Symbolic Neutrosophic and Plithogenic Marshall-Olkin Type I Class of Distributions

Abstract

In this paper we present the symbolic neutrosophic and plithogenic Marshall-Olkin 
type I class of distributions. We derive the formal form of the cumulative distribution function and 
probability density function of neutrosophic and plithogenic Marshall-Olkin Type I class of 
distributions. As a special case of the mentioned class of distributions we study the generalized 
uniform distribution in both neutrosophic and plithogenic forms, we derive its PDF and CDF then 
present an algorithm of random numbers generation according to it, then we estimate its parameters 
using maximum likelihood estimation and support the results with a simulation study to show the 
efficiency of the calculated parameters and study its asymptotic properties including unbiasedness 
and consistency.