Abstract
A new family of distributions, called the Right truncated Xgamma-G, was developed. Explicit expressions for some of its statistical properties including the Renyi entropy, moments and generating functions, stress-strength reliability, Lorenz and Benferroni curves were established. The model parameters were estimated using the maximum likelihood estimation method and real-life application was provided using three datasets. It was also demonstrated that the Right truncated Xgamma-G family of distributions fits the datasets better than the Kumaraswamy-G, Beta-G, Exponentiated Generalized-G, Weibull-G, and Gompertz-G families of distributions.

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