  In this paper, we introduce a new extension of the generalized linear failure
rate distributions. It includes some well-known lifetime distributions such as
extension of generalized exponential and generalized linear failure rate
distributions as special sub-models. In addition, it can have a constant,
decreasing, increasing, upside-down bathtub (unimodal), and bathtub-shaped
hazard rate function depending on its parameters. We provide some of its
statistical properties such as moments, quantiles, skewness, kurtosis, hazard
rate function, and reversible hazard rate function. The maximum likelihood
estimation of the parameters is also discussed. At the end, a real data set is
given to illustrate the usefulness of this new distribution in analyzing
lifetime data.
