# T-Transmuted X Family of Distributions

## DOI:

https://doi.org/10.6092/issn.1973-2201/6800## Keywords:

Exponential distribution, Hazard rate, Maximum likelihood estimation, Moments, T-X family of distributions## Abstract

Using the quadratic transmutation map (QRTM) approach of Shaw and Buckley (2007) and the *T* -*X* family method by Alzaatreh *et al.* (2013b), we have developed a new family of distributions called *T* -transmuted *X* family of distributions. Many of the existing family of distributions are sub models of this family. As a special case, exponential transmuted exponential (ETE) distribution is studied in detail. The application and flexibility of this new distribution is illustrated using two real data sets.

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*Statistica*,

*77*(3), 251–276. https://doi.org/10.6092/issn.1973-2201/6800

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