R: Carthwrite's Power-of-Cosine Density Function

Carthwrite {circular}

R Documentation

Carthwrite's Power-of-Cosine Density Function

Density for the Carthwrite's power-of-cosine distribution.

dcarthwrite(x, mu, psi)

`x`	a vector. The `x` and `q` objects are coerced to class `circular`.
`mu`	the location angular parameter. The object is coerced to class `circular`.
`psi`	the positive shape parameter.

The Carthwrite's power-of-cosine distribution has density

f(x)=\frac{2^{(1/\psi)-1} \Gamma^2((1/\psi)+1) (1+\cos(x-\mu))^{1/\psi}} {\pi\Gamma((2/\psi)+1)},

for 0 \le x < 2\pi.

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.

[Package circular version 0.5-0 Index]