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A Comparison of Estimation Methods for Gompertz Flexible Weibull Distribution
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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.
Erzincan Universitesi Fen Bilimleri Ensitusu Dergisi
Title: A Comparison of Estimation Methods for Gompertz Flexible Weibull Distribution
Description:
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.
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