A new heavy-tailed Topp-Leone-G power series class of distributions with applications

We propose a new heavy-tailed distribution, namely, type I heavy-tailed Topp-Leone-G power series class of distributions. Statistical properties including quantile function, hazard rate function, probability weighted moments, distribution of order statistics and Rényi entropy are presented. Maximum likelihood estimation method is used to obtain estimates of the parameters of the new class of distributions, and Monte Carlo simulation is used to assess the consistency of the estimators. Illustration of the usefulness and applicability of the new class of distributions is done by analysing four real life datasets from different fields.