Abstract

A new circular probability distribution which is based on GvM
(generalization of the von Mises) is proposed. The new
distribution is used to construct a joint probability distribution
which is applied to fit joint distribution of linear and circular
variables such as wind speed and wind direction. The results of several numerical experiments show that compared with the existing distribution models, the new circular distribution and the new constructed joint distribution in the paper can provide higher degree of the fit for the wind data under study.

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