A new lifetimemodel, which extends the Fréchet distribution called the
generalized transmuted Fréchet distribution is proposed and studied.
Various of its structural properties including ordinary and incomplete
moments, generating function, residual and reversed residual lifes, order
statistics and probability weighted moments are derived. Two characterization
theorems are presented. The maximum likelihood method is
used to estimate themodel parameters. The flexibility of the new distribution
is illustrated using a real data set. It can serve as an alternative
model to other lifetime models available in the literature for modeling
positive real data in many areas.