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Abstract Statistical distributions are playing a very important role in the scientific researches, since recognizing the probability distribution of the sample study denotes the key word in many situations. Statistical distributions are very useful in defining, describing and predicting real world phenomena. Although many distributions have been created, there are always rooms for developing distributions which are more flexible for fitting specific real world scenarios. There are motivated researchers seeking and developing new and more flexible distributions. As a result, many new distributions and techniques have been developed and studied. Over the last years, several new models have been created that are conducted from the Weibull distribution. It provides a richness that makes it accurate and appropriate to fit complex data sets. The Weibull distribution distinguishes with its negatively and positively skewed density shapes |