A new family of distributions called Ristic-Balakhrishnan Odd Burr III-G (RBOB III-G) distribution is proposed. We obtain some mathematical and statistical properties of this distribution such as hazard and reverse hazardfunctions, quantile function, moments and generating functions, conditional moments, Rényi entropy, order statistics, stochastic ordering and probability weighted moments. The model parameters are estimated using maximum likelihood estimation technique. Finally, the usefulness of this family of distributions is demonstrated via simulation experiments.

A new family of distributions called exponentiated half-logistic Odd Burr III-G (EHL-OBIII-G) is developed and studied. Mathematical and statistical properties such as the hazard function, quantile function, moments, probability weighted moments, Renyi entropy and stochastic orders are derived. The model parameters are estimated based on the maximum likelihood estimation method. The usefulness of the proposed family of distributions is demonstrated via extensive simulation studies. Finally the proposed model and its special case is applied to real data sets to illustrate its best fit and flexibility.

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