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.