Modification on two parameters weibull through entropy transformation, with simulation

Abstract EN

This paper deals with obtaining a new family of weibull with two parameters, (: scale parameter, P: shape parameter) through applying entropy transformation, the new p.

d.

f is obtained, and also new C.

D.

F, and the rth moments formula is derived, then the parameters( are estimated by Maximum Likelihood Estimator (MLE), and Moments estimator(MOM) method as well as some proposed (PROP) method.

The comparison is done by simulation, using different sample size (n=20, 40, 60)and initial values of parameter).

after they are estimated by different three methods (MLE, MOM, PROP); and the values of ( ) is generated from C.

D.

F, using inverse transformation and we take set of eight values of ( ) for application and estimation, to choose best estimators that gives smallest Mean square error, all the results are explained by tables.