Abstract
In Current research, the study suggested that distribution is using for the exponential quantile function to define the W distribution. Correspondingly, there are many general properties of T-X system of distributions are considered. As a result, this study was obtained a new aspect of distribution by deriving the T-X family equation. After that the study was covered different mathematical and statistical properties, as well as the moments Reliabilities Analysis,) failure, reverse hazard) rate of the distribution derived. The parameters were valued by the maximum likelihood method.
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