  This paper introduces studies on exponentaited generalized Weibull Gompertz
distribution EGWGD which generalizes a lot of distributions. Several properties
of the EGWGD such as reversed (hazard) function, moments, maximum likelihood
estimation, mean residual (past) lifetime, MTTF, MTTR, MTBF, maintainability,
availability and order statistics are studied in this paper. A real data set is
analyzed and it is observed that the present distribution can provide a better
fit than some other very well known distributions
