The Rayleigh distribution is used to model the lifetime of an object or
a service time. In this paper, a new distribution with two parameters
(Power Rayleigh distribution) is introduced. Statistical properties of
the distribution such as density function, survival function, hazard
function, moments, quantile function, residual life, order statistic and
extreme value distribution are discussed. Maximum likelihood method is
used to estimate the unknown parameters.Simulation Schemes are produced.
Finally, an application of the model to real data set is presented to
show the superiority of this new distribution by comparing the fitness
with its special cases.