Comparison of Some Estimation Methods of the two parameter Weibull Distribution for Unusual

Abstract

Since the Weibull distribution has been accepted reference distribution in wind energy field, topics on its parameter estimation methods get much attention. In this context, the literature have generally focused on non-robust methods, which may yield questionable results in the cases of unusual and contaminated wind speed data. This paper discusses some robust estimation methods of the parameters of Weibull distribution for unusual wind speed data cases. The considered robust methods are evaluated by using artificially generated unusual wind speed data cases. It has been found that some of the considered robust methods provide reliable results compared the classical ones. The similar results are observed for the estimation of the mean power density error. As a result, the analyzes performed show that robust and efficient classical methods can be used together to check the results.

Since the Weibull distribution has been accepted reference distribution in wind energy field, topics on its parameter estimation methods get much attention. In this context, the literature have generally focused on non-robust methods, which may yield questionable results in the cases of unusual and contaminated wind speed data. This paper discusses some robust estimation methods of the parameters of Weibull distribution for unusual wind speed data cases. The considered robust methods are evaluated by using artificially generated unusual wind speed data cases. It has been found that some of the considered robust methods provide reliable results compared the classical ones. The similar results are observed for the estimation of the mean power density error. As a result, the analyzes performed show that robust and efficient classical methods can be used together to check the results.