snntsdensityplot {CircNNTSR} R Documentation

## 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])
```

[Package CircNNTSR version 2.2-1 Index]