The article considers a new ‡exible distribution with di¤erent shape of
quan- tile hazard rate. A new class developed is the sum of quantile functions of
the generalized extreme value and weibull distributions. A new model has the
probability density function whose sensitive skewness is a general case of prob-
ability density quantile function of the exponential distribution, probability
density quantile function of the rayleigh distribution, exponential distribution
and rayleigh distribution. Di¤erent properties and reliability characterization of
this new model have been discussed and inference of parameters using per-
centile methods and L-moments methods are studied. To clarify the procedure
of methods of estimation, two real data sets were performed.