T-Transmuted X Family of Distributions

Girish Babu Moolath, Jayakumar K

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.


Keywords


Exponential distribution; Hazard rate; Maximum likelihood estimation; Moments; T-X family of distributions

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References


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DOI: 10.6092/issn.1973-2201/6800