A comprehensive review on the advancement of the Xgamma Distribution

Harsh Tripathi; Mahendra  Saha; Abhimanyu Singh Yadav

doi:10.64060/JASR.v2i1.3

Authors

Harsh Tripathi Symbiosis Statistical Institute, Symbiosis International (Deemed University) ,Pune, India Author
Mahendra Saha Department of Statistics, University of Delhi, India Author
Abhimanyu Singh Yadav Banaras Hindu University, Varanasi, India Author

DOI:

https://doi.org/10.64060/JASR.v2i1.3

Keywords:

Xgamma distribution, finite mixture distribution, extended Xgamma families, transformation-based distributions, real data applications

Abstract

The present article provides a comprehensive review of the development and applications of the Xgamma distribution (XGD). The Xgamma distribution, conceptually parallel to the Lindley distribution, emerges as a combination of the exponential and gamma distributions with an appropriate weighting coefficient. Owing to its flexibility and analytical tractability, the XGD has gained considerable attention in reliability and lifetime data modeling. In recent years, numerous researchers have proposed various extensions and generalizations of the Xgamma distribution by employing diverse transformation techniques and distributional families. These developments have further enhanced its modeling capability and adaptability to complex data structures. A particularly interesting aspect of this review is the discussion of practical applications, where several real data sets used in previous studies are examined to demonstrate the empirical relevance and versatility of the extended forms of the XGD across different scientific and engineering fields.

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