African Journal of Applied Statistics

Confidence Bounds for Extreme Wind Speed Estimates: A Comparison For the Gumbel - Burr XII Distribution and Classical Extreme Value Distributions

Patrick OSATOHANMWEN, Francis O OYEGUE, and Sunday Martins OGBONMWAN

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Recently, the Gumbel-Burr XII (GUBXII) distribution has been introduced in Osatohanmwen et al. (2017), as a new member from the T-X family of distributions. Several properties of the new distribution were studied by the authors and an application to a real lifetime data set was carried out. In this paper, analysis of extreme wind speed frequency is undertaken. A comparison for the GUBXII distribution, generalized extreme value distribution and the Gumbel distribution in fitting weekly highest wind speed observations collected in Benin City, Nigeria for 200 weeks is performed. Results obtained indicate that the GUBXII distribution outperformed the Gumbel and the generalized extreme value distribution in fitting the extreme wind speeds data while also providing the best confidence bound for wind speed estimates with short return periods.


Dans cet article, les extrêmes des vitesses de vent sont étudiés dans la ville du Bénin au Nigéria. Les données concernent une période de 200 semaines. L'étude a été modélisée en utilisant une une famille de lois de probabilité dénommée Gumbel-Burr XII (GUBXII) qui a été introduite dans Osatohanmwen et al. (2017), comme étant un nouveau membre de la famille des distributions T-X, et ensuite avec la distribution généralisée des extrêmes. Une comparaison a été faite.

Article information

Afr. J. Appl. Stat., Volume 4, Number 1 (2017), 259-271.

First available in Project Euclid: 16 May 2019

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Digital Object Identifier

Primary: 62G32: Statistics of extreme values; tail inference 62F10: Point estimation 60-07

wind speeds AIC extreme values maximum likelihood return period confdence bound delta method


OSATOHANMWEN, Patrick; OYEGUE, Francis O; OGBONMWAN, Sunday Martins. Confidence Bounds for Extreme Wind Speed Estimates: A Comparison For the Gumbel - Burr XII Distribution and Classical Extreme Value Distributions. Afr. J. Appl. Stat. 4 (2017), no. 1, 259--271. doi:10.16929/ajas/2017.259.214.

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