Parameter estimation for the Lomax distribution using the E-Bayesian method

Abstract

In this paper, we will find the parameter estimator from Lomax distribution on one of censored data, that is right censored data type II. Lomax distribution is also called Pareto type II distribution. The parameter will be estimate is the shape parameter with the assumption of scale parameters (β) has been known. The parameter estimation method used in this study is E-Bayesian estimation method. E-Bayesian estimation is an expectation of Bayes estimation, in order to obtain Bayes estimation expectations is by calculating the mean of Bayes estimators. E-Bayesian estimation method is used to estimate failure rate. The estimation will use prior Gamma as conjugate prior distribution from Lomax distribution and Loss function will be used is balanced squared error loss function (BSELF). Thus, the main purpose of this study is to find the parameter estimator of the Lomax distribution on the right censored data type II using the E-Bayesian method. The final result of this study, we get the likelihood function from Lomax distribution on the right censored data type II and the parameter estimator from Lomax distribution on the right censored data type II using the E-Bayesian method.