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 ðœƒð‘ = ð‘Ž +
ð‘ð¼ ;ð¼
2 = ð¼ which differs from interval-valued neutrosophic probability distributions in
which parameters of theses distributions take the form ðœƒð‘ ∈ [ð¿,ð‘ˆ]. 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.