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

In apjmason/circular: Circular Statistics

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)=[2^{(1/ψ)-1} Γ^2((1/ψ)+1) (1+\cos(x-μ))^{1/ψ}] / [π Γ((2/ψ)+1)],

for 0 <= x < 2π.

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.

apjmason/circular documentation built on Dec. 19, 2021, 4:33 a.m.