snntsdensityplot {CircNNTSR}

Plots a SNNTS density for spherical data

Description

Computes the points needed to plot the SNNTS density function for spherical data

Usage

snntsdensityplot(long, lat, cpars = 1, M = c(0,0))

Arguments

long

Grid for longitude. Vector with values between zero and 2*pi

lat

Grid for latitude. Vector with values between zero and pi

cpars

Vector of complex numbers of dimension prod(M+1). The sum of the squared moduli of the c parameters must be equal to one

M

Vector with the number of components in the SNNTS for each dimension

Value

The points needed to plot the SNNTS density function

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(4,4)
cest<-snntsmanifoldnewtonestimation(data, M, iter=150)
cpars<-cest$cestimates[,3]
longitud<-seq(0,360,10)*(pi/180)
latitud<-seq(0,180,5)*(pi/180)
z<-outer(longitud,latitud,FUN="snntsdensityplot",cpars,M)
persp(longitud,latitud,z,theta=45,phi=30)
contour(longitud,latitud,z)
points(data[,1],data[,2])