Abstract:

The Gompertz flexible Weibull distribution is a type of flexible Weibull distribution. We addressed the predictive problem of the parameters of the Gompertz flexible Weibull distribution. We’ve looked at a few predictive methods for the Gompertz flexible Weibull distribution. The most probability, the smallest squares, the weighted smallest squares, Anderson Darling and Cramer-von Mises were considered by the predictors. A Monte Carlo simulation study was conducted to compare these predictors in terms of the side and error squares average. Also, real data studies were presented to show the usefulness of the Gompertz flexible Weibull distribution and to obtain forecasts based on the five predictive methods mentioned.

Keywords:

Abstract:

Gompertz flexible Weibull distribution is an extension of flexible Weibull distribution. We tackle the problem of estimation of parameters of Gompertz Weibull distribution. We discuss several methods of estimation for Gompertz flexible Weibull distribution. Maximum likelihood estimators, least squares estimators, weighted least squares estimators, Anderson-Darling estimators, Cramer-von Mises estimators are considered. A Monte Carlo simulation study is performed in order to compare these estimators in terms of their biases and mean square errors. Also, real data applications are presented to illustrate the usefulness of Gompertz flexible Weibull distribution and obtain estimates based on five methods of estimation.