  This paper proposed a new probability distribution named as inverse xgamma
distribution (IXGD). Different mathematical and statistical properties,viz.,
reliability characteristics, moments, inverse moments, stochastic ordering and
order statistics of the proposed distribution have been derived and discussed.
The estimation of the parameter of IXGD has been approached by different
methods of estimation, namely, maximum likelihood method of estimation (MLE),
Least square method of estimation (LSE), Weighted least square method of
estimation (WLSE), Cram'er-von-Mises method of estimation (CME) and maximum
product spacing method of estimation (MPSE). Asymptotic confidence interval
(ACI) of the parameter is also obtained. A simulation study has been carried
out to compare the performance of the obtained estimators and corresponding ACI
in terms of average widths and corresponding coverage probabilities. Finally,
two real data sets have been used to demonstrate the applicability of IXGD in
real life situations.
