The Odd Log-Logistic Generalized Gompertz Distribution: Properties, Applications and Different Methods of Estimation

Abstract

We introduce a four-parameter lifetime distribution called the odd log-logistic generalized Gompertz model to generalize the exponential, generalized exponential and generalized Gompertz distributions, among others. We obtain explicit expressions for the moments, moment-generating function, asymptotic distribution, quantile function, mean deviations and distribution of order statistics. The method of maximum likelihood estimation of parameters is compared by six different methods of estimations with simulation study. The applicability of the new model is illustrated by means of a real data set.

Keywords

Odd log-logistic family of distribution / Maximum likelihood estimators / Least squares estimators / Weighted least squares estimators / Method of maximum product spacing / Percentile estimators