  This article aims to introduced a new distribution named as extended xgamma
(EXg) distribution. This generalization is derived from xgamma distribution
(Xg), a special finite mixture of exponential and gamma distributions [see, Sen
et al. ($2016$)]. Some important statistical properties, viz., survival
characteristics, moments, mean deviation and random number generation have been
derived. Further, maximum likelihood estimation for the estimation of the
unknown parameters have also been discussed for the complete sample. The
application of the proposed model has been illustrated through a real data set
and observed that the proposed model might be taken as an better alternative to
some well known lifetime distributions.
