Comparing Different Bayes Estimator of Shape Parameter for Burr Type X

Maha Adil Alagaidi

Abstract: This paper deals with obtaining a new probability distribution from powering some given distribution to obtain a family that is more flexible for representing data, then we derive four Bayes estimators under exponential priors, also four Bayes estimators under Jeffery prior, then the comparison has been done through simulation, the results are compared using statistical measures (mean square error).

Keywords: A new family Burr type X, Generalized Rayleigh, Bayes I, Bayes II, Bayes D, Bayes P under exponential prior, Jeffery prior, MSE Risk function