Carthwrite's Power-of-Cosine Density Function
Density for the Carthwrite's power-of-cosine distribution.
dcarthwrite(x, mu, psi)
The Carthwrite's power-of-cosine distribution has density
f(x)=[2^{(1/ψ)-1} Γ^2((1/ψ)+1) (1+\cos(x-μ))^{1/ψ}] / [π Γ((2/ψ)+1)],
for 0 <= x < 2π.
The density
Federico Rotolo
Carthwrite, D.E. (1963). The use of directional spectra in studying the output of a wave recorder on a moving ship. Ocean Wave Spectra , 203-218.
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