In this paper, we introduce a new continuous family of distributions called the Topp-Leone type II exponentiated half logistic-G (TL-TIIEHL-G). We also present some of the special cases of the new model. Some statistical properties of the new family of distributions are explored. The statistical properties studied include the expansion of the density function, hazard and quantile functions, moments, moment generating functions, probability weighted moments, stochastic ordering, distribution of order statistics and Rényi entropy. The maximum likelihood technique is used to estimate the model parameters and Monte Carlo simulations are presented. Lastly, the importance of the new family of distributions is examined by means of applications to real dataset.

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