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

摘要

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 entropy, moments, skewness and kurtosis are discussed.The flexibility of the exponentiated Weibull-exponential distribution is assessed by applying it to three real data sets and comparing it with other distributions.The exponentiated Weibull-exponential distribution is found to adequately fit left-skewed and right-skewed data sets.