The process of fitting distributions is one of the common and well-known models for generating new distributions, which are complex distributions. In this research, a methodology was used to build a new proposed model of the Inverted - Topp - Leone distribution and the Exponential distribution , which is the transformative methodology ( Transformed-Transformer Method) It is )symbolized by ( TX family ) to be a compound called( (Inverted Topp Leone- exponentinal ). With two parameters, the measurement parameter Ѳ and the figure parameter λ , studying its statistical properties and estimating the reliability function using the Maximum Likelihood Method and applying it to real data represented by the operating times of electrical transformers until failure.

.