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

Carthwrite {circular} | R Documentation

## 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)=[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.

[Package circular version 0.4-93 Index]