Abstract
In the last few years, the Topp-Leone-G family has been regarded with various statistical applications. In this paper, efforts have been made to introduce a new family of distribution as an alternative to Topp-Leone-G distribution through a useful transformation with flexible hazard rate and greater reliability which we call new Topp-Leone-G (NTL-G) distribution. Some new special models and some statistical properties such as, expansions, probability weighted moments, moments and Rényi entropy are provided. The maximum likelihood method is used for estimating the model parameters. For the applied side, new models can be created in view of fitting data set. This last point is illustrated by consideration of the exponential distribution as baseline. A real data set is employed which represent the observations of ordered failure of some components. The obtained results show that, the NTL-G family is very competitive in comparison to other well implanted general families.
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