A tractable and interpretable four-parameter family of unimodal distributions on the circle

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New methods to assess wind resources in terms of wind speed, load, power and direction (2018, background): “Kato-Jones distribution Kato and Jones [23] suggested a 4-parameter distribution for circular data that are unimodal and possess a wide range of skewness and kurtosis.”
On a class of circulas: copulas for circular distributions (2015, background): “Wrapped stable distributions (Pewsey 2008) and a new family of circular distributions due to Kato and Jones (2014) are amongst those with the required property; both include the wrapped Cauchy distribution, and the latter the cardioid distribution, as special cases.”
On Families of Distributions with Shape Parameters (2015, unknown): “The family of Kato & Jones (2014) has as a subset a version of f S 1 using W M (not f S 2 because W ′ M does not satisfy (2)) and is built on the speciﬁc choice of wrapped Cauchy g .”