wrappedcauchy: Wrapped Cauchy Density Function

Description Usage Arguments Value Author(s) References Examples

Description

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

Usage

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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

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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")

circular documentation built on May 1, 2019, 7:57 p.m.