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

In circular: Circular Statistics

Carthwrite's Power-of-Cosine Density Function

Description

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

Usage

dcarthwrite(x, mu, psi)

Arguments

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.

Details

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.

Value

The density

Author(s)

Federico Rotolo

References

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.

circular documentation built on Sept. 11, 2024, 8:21 p.m.