Abstract
This paper aims to suggest a new compound probability distribution represented by the Left Truncated Gumbel-Weibull distribution using the cumulative distribution function method. As the mathematical formula for the probability density and cumulative distribution functions of the new distribution was derived, in addition to its properties represented by the Noncenteral Moment, the central Moment, the kortisies coefficient, Mod and the median. As well as discussing different methods of estimating its parameters, represented by Maximum Likelihood Method and the Percentiles Estimators of Method through the simulation method.
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