Weibull Lindley Burr XII Distribution

Abstract

In this paper, we derive the new special distribution is Weibull Lindley Burr XII distribution (WLBD) . Several properties are included, PDF, CDF, moment generating function, hazard rate, reversed hazard function, odd function, quantile function, order statistics and moments are proved of the WLBD . An estimation procedure by the method of maximum likelihood, fisher matrix and a simulation are studied of WLBD. Two real data applications are introduced to prove that the our model fits better than of Burr and Lindley distributions. Finally, we give graph of PDF, CDF, mean squared error and bias at different values of parameters