nntsloglikInterval0to2pi {CircNNTSR}

NNTS log-likelihood function for the incidence data defined in the interval [0,2*pi)

Description

Computes the log-likelihood function for incidence data (number of observed values in certain intervals defined in the interval [0,2*pi))

Usage

nntsloglikInterval0to2pi(data, cutpoints, cpars = 1/sqrt(2 * pi), M = 0)

Arguments

data

Number of observations in each interval

cutpoints

Vector of size length(data)+1 with the limits of the exhaustive and mutually exclusive intervals in which the interval [0,2*pi) is divided.

cpars

Vector of complex numbers of dimension M+1. The first element is a real and positive number. The sum of the SQUARED moduli of the c parameters must be equal to 1/(2*pi).

M

Number of components in the NNTS density

Value

The function returns the value of the log-likelihood function for the data

Author(s)

Juan Jose Fernandez-Duran and Maria Mercedes Gregorio-Dominguez

Examples

data<-c(2,3,6,4)
cutpoints<-c(0,pi/2,pi,3*pi/2,2*pi-0.00000001)
est<-nntsmanifoldnewtonestimationinterval0to2pi(data,cutpoints,M=1)
cpars<-est$cestimates[,2]
nntsloglikInterval0to2pi(data,cutpoints,cpars,M=1)