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Exponentiated $T$-$X$ Family of Distributions with Some Applications

Exponentiated $T$-$X$ Family of Distributions with Some Applications

In this paper, a new family of distributions called exponentiated $T$-$X$ distribution is defined. Some of its properties and special cases are discussed. A member of the family, namely, the three-parameter exponentiated Weibull-exponential distribution is defined and studied. Some of its properties including distribution shapes, limit behavior, hazard function, Shannon …