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On the Investigation of the Methods of Parameter Estimation of the Best Probability Model for Wind Speed Data

The focus of this paper is to estimate parameters of the best distribution for modelling wind speed data, real-life data sets of wind speed of Maiduguri, the biggest city in the North Eastern, Nigeria were adopted for application purposes. Six (6) probability density functions, specifically, Weibull, Gamma, Lognormal, Pareto, Burr and Log-Logistic are considered for modelling the wind speed data. In selecting the model of best fit for the variability of the wind speed data, five (5) methods of estimating parameter, such as; Maximum Likelihood Estimation (MLE), Matching Quantiles Estimation (MQE), The Cramer-von Mises Minimum Distance Estimators (CvM), Anderson-Darling Minimum Distance Estimation and Kolmogorov-Smirnov Minimum Distance Estimation (K-S)) were further applied to obtain the best estimates for the best model among compared ones. We discovered in our investigation that Weibull distribution best fitted the wind data per Goodness-of-fit tests, since it has the smallest p-value for K-S (0.03179314), CvM (0.03137888) and AD (0.23725978) revealing the curve is fairly close to our data and the maximum likelihood estimators with the smallest AIC (972.7990) and BIC (980.3105) estimates for Weibull parameters, proved to be the best as compared with other methods of estimation.

Wind Energy, Probability Distribution Models, Maximum Likelihood Estimators, Matching Quantiles Estimation, Goodness of Fit-Tests

APA Style

Obanla Olakunle James, Awariefe Christopher, Ilo Hammed Owolabi. (2021). On the Investigation of the Methods of Parameter Estimation of the Best Probability Model for Wind Speed Data. International Journal of Discrete Mathematics, 6(2), 45-51.

ACS Style

Obanla Olakunle James; Awariefe Christopher; Ilo Hammed Owolabi. On the Investigation of the Methods of Parameter Estimation of the Best Probability Model for Wind Speed Data. Int. J. Discrete Math. 2021, 6(2), 45-51. doi: 10.11648/j.dmath.20210602.13

AMA Style

Obanla Olakunle James, Awariefe Christopher, Ilo Hammed Owolabi. On the Investigation of the Methods of Parameter Estimation of the Best Probability Model for Wind Speed Data. Int J Discrete Math. 2021;6(2):45-51. doi: 10.11648/j.dmath.20210602.13

Copyright © 2021 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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