Algebraic Approach to Literal Neutrosophic Kumaraswamy Probability Distribution

Abstract

In this paper we have successfully constructed the literal neutrosophic Kumaraswamy probability distribution. We mean by literal neutrosophic probability distribution that parameters of the distribution and the values that the random variable describing the distribution all take literal neutrosophic numbers of the form 𝜃𝑁 = 𝑎 + 𝑏𝐼 ; 𝐼 2 = 𝐼 which differs from interval-valued neutrosophic probability distributions in which parameters of theses distributions take the form 𝜃𝑁 ∈ [𝐿,𝑈]. We have derived the neutrosophic form of the probability density function, cumulative distribution function, statistical properties and maximum likelihood estimations of the parameters. Finally, a simulation study is performed to show the efficiency of the estimators provided by the neutrosophic MLE method.

Keywords

• literal neutrosophic numbers
• probability distributions theory
• maximum likelihood estimation
• kumaraswamy distribution
• simulation