snntsloglik {CircNNTSR}

SNNTS log-likelihood function for spherical data

Description

Computes the log-likelihood function with SNNTS density for spherical data

Usage

snntsloglik(data, cpars = 1, M = c(0,0))

Arguments

data

Matrix of angles in radians. The first column contains longitude data (between zero and 2*pi), and the second column containslatitude data (between zero and pi), with one row for each data point

cpars

Vector of complex numbers of dimension prod(M+1). The first element is a real and positive number. The first M[1]+1 elements correspond to longitude, the next M[2]+1 elements correspond to latitude. The sum of the squared moduli of the c parameters must be equal to 1

M

Vector with number of components in the SNNTS for each dimension

Value

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

Note

The parameters cpars used by this function are the transformed parameters of the SNNTS density function, which lie on the surface of the unit hypersphere

Author(s)

Juan Jose Fernandez-Duran and Maria Mercedes Gregorio-Dominguez

References

Fernandez-Duran J. J. y Gregorio Dominguez, M. M. (2008) Spherical Distributions Based on Nonnegative Trigonometric Sums, Working Paper, Statistics Department, ITAM, DE-C08.6

Examples

data(Datab6fisher_ready)
data<-Datab6fisher_ready
M<-c(4,4)
cpars<-rnorm(prod(M+1))+rnorm(prod(M+1))*complex(real=0,imaginary=1)
cpars[1]<-Re(cpars[1])
cpars<- cpars/sqrt(sum(Mod(cpars)^2))
snntsdensity(data, cpars, M)
snntsloglik(data, cpars, M)