Authors

• Hamzeh Torabi
• Fatemeh Bagheri

Abstract

This paper considers an Extended Generalized Half Logistic distribution. We derive some properties of this distribution and then we discuss estimation of the distribution parameters by the methods of moments, maximum likelihood and the new method of minimum spacing distance estimator based on complete data. Also, maximum likelihood equations for estimating the parameters based on Type-I and Type-II censored data are given. In addition, the asymptotic variance and covariance of the estimators are given. We then evaluate the properties of maximum likelihood estimation (MLE) through the mean squared error, relative absolute bias and relative error. Furthermore, the asymptotic con¯dence intervals of the estimators are presented. Finally, simulation results are carried out to study the precision of the MLEs for the parameters involved.

Keywords

• Extended generalized half logistic distribution
• Fisher information matrix
• Maximum likelihood estimation
• minimum spacing distance estimator
• type-I and type-II censored data