A Comparative Study To Estimate The Parameters Of The Shape And Scale Of Weibull Distribution In Sebha-Libya 1962-2013

Abstract

This study aimed to estimate the parameter scale è and the shape parameter ë

of the Weibull distribution and to compare the estimation methods (Maximum

likelihood, Moments, least squares and maximum loss of Minimax) by the

mean square error to obtain the best estimate. Actual data for the monthly

wind velocity of sebha city -Libya were used for 52 years. The value of

median, third quartile, eighty-fifth percentile and the maximum value in each

year as measurements and variables of the study. the statistical package

program R was used in the application. The results showed that the best

method of estimation was the maximum loss method Minimax, then the

maximum likelihood then moments then lestsquares method. The study also

recommended that make comparisons between traditional methods of

Minimum Variance bound and the highest exponential loss function and the reliance on the eighty-fifth percentile scale in the calculation of wind speed.