snntsmarginallongitude {CircNNTSR}

Marginal density function for the longitude of the SNNTS model for spherical data

Description

Marginal density function for the longitude of the SNNTS model for spherical data

Usage

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

Arguments

data

Vector of angles in radians, with one row for each data point. The data must be between zero and 2*pi

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, and the next M[2]+1 elements correspond to latitude. The sum of the squared moduli of the c parameters must be equal to one.

M

Vector with number of components in the SNNTS for each dimension

Value

The function returns the density function evaluated 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

	set.seed(200)
data(Datab6fisher_ready)
data<-Datab6fisher_ready
M<-c(1,2)
cest<-snntsmanifoldnewtonestimation(data, M,iter=150)
long<-snntsmarginallongitude(seq(0,2*pi,.1),cest$cestimates[,3],M)
plot(seq(0,2*pi,.1),long,type="l")