Building an InvertedTopp-Leone-Exponentinal Probability Distribution With simulation experience application

Abstract

: The process of fitting distributions is one of the common and well-known models for generating new distributions, which are the 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 single generalized exponential family ( (The odd generalized exponential family) and symbolized by (OGE) to be a compound called (InvertedTopp_leon_odd generalized Exponential Distribution) with two parameters, the measurement parameter Ѳ and the shape parameter λ, and its statistical properties and the dependency function were studied, and the reliability function was estimated using the Maximum Likelihood Method and a procedure The simulation on it, and based on the simulation results, it was found that (MLE) is the best way to estimate the function