1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
|
\name{mle.wrappedcauchy}
\title{Wrapped Cauchy Maximum Likelihood Estimates}
\alias{mle.wrappedcauchy}
\alias{print.mle.wrappedcauchy}
\description{
Computes the maximum likelihood estimates for the parameters of a
Wrapped Cauchy distribution: mean and concentration parameter.
}
\usage{
mle.wrappedcauchy(x, mu = NULL, rho = NULL, tol = 1e-15,
max.iter = 100, control.circular = list())
\method{print}{mle.wrappedcauchy}(x, digits = max(3, getOption("digits") - 3), \dots)
}
\arguments{
\item{x}{a vector. The object is coerced to class
\code{\link{circular}}.}
\item{mu}{if \code{NULL} the maximum likelihood estimate of the mean
direction is calculated otherwise it is coerced to an object of class \code{circular}.}
\item{rho}{if \code{NULL} the maximum likelihood estimate of the
concentration parameter is calculated.}
\item{tol}{precision of the estimation.}
\item{max.iter}{maximum number of iterations.}
\item{control.circular}{the attribute of the resulting objects (\code{mu})}
\item{digits}{integer indicating the precision to be used.}
\item{\dots}{further arguments passed to or from other methods.}
}
\value{
Returns a list with the following components:
\item{call}{the \code{\link[base]{match.call}} result.}
\item{mu}{the estimate of the mean direction or the value supplied as an object of class \code{circular}.}
\item{rho}{the estimate of the concentration parameter or the
value supplied}
\item{convergence}{TRUE if convergence is achieved.}
}
\author{Claudio Agostinelli and Ulric Lund}
\references{
Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular
Statistics, Section 4.2.1, World Scientific Press, Singapore.
}
\seealso{
\code{\link{mean.circular}}
}
\examples{
x <- rwrappedcauchy(n=50, mu=circular(0), rho=0.5)
mle.wrappedcauchy(x) # estimation of mu and rho
mle.wrappedcauchy(x, mu=circular(0)) # estimation of rho only
}
\keyword{htest}
|
