R: Wrapped Cauchy Density Function

wrappedCauchy {circular} | R Documentation

## Wrapped Cauchy Density Function

### Description

Density, and random generation for the wrapped Cauchy circular distribution.

### Usage

    dwrappedcauchy(x, mu = circular(0), rho = exp(-1))
    rwrappedcauchy(n, mu = circular(0), rho = exp(-1), control.circular=list())

### Arguments

`x` | a vector. The object is coerced to class `circular`.
`n` | number of observations.
`mu` | mean direction of the distribution as a `circular` object.
`rho` | concentration parameter of the distribution. `rho` must be in the interval from 0 to 1.
`control.circular` | the attribute of the resulting object.

### Value

`dwrappedcauchy` gives the density and `rwrappedcauchy` generates random deviates.

### Author(s)

Claudio Agostinelli and Ulric Lund

### References

Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, Section 2.2.7, World Scientific Press, Singapore.

### Examples

    data1 <- rwrappedcauchy(100, mu=circular(0), rho=0.7,
      control.circular=list(units="degrees"))
    plot(data1)

    ff <- function(x) dwrappedcauchy(x, mu=circular(pi), rho=0.7)
    curve.circular(ff, join=TRUE, xlim=c(-2, 1),
      main="Density of a Wrapped Cauchy Distribution \n mu=pi, rho=0.7")

[Package circular version 0.4-93 Index]