In this work, a new generalized of the exponential distribution, called the beta Topp-Leone exponential distribution, is introduced. Mathematical properties of the proposed distribution are also provided, such as, some expansions of the probability density function and the cumulative distribution function, transformation, quantile function, ordinary moments, and moment generating function. The method of maximum likelihood estimation is used to estimate the unknown parameters of the proposed distribution. The applicability of a new distribution is illustrated by the real data set.
Keywords
Exponential distribution, Beta generated family of distributions, Topp-Leone Distribution, Topp-Leone exponential distribution, T-X family