CircNNTSR (version 2.3)

nntsdensity: NNTS density function

Description

Density function for the NNTS model

Usage

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

Value

The function returns the density function evaluated at each point in data

Arguments

data

Vector of angles in radians

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

Author

Juan Jose Fernandez-Duran and Maria Mercedes Gregorio-Dominguez

References

Fernandez-Duran, J.J. (2004). Circular Distributions Based on Nonnegative Trigonometric Sums, Biometrics, 60(2), 499-503.

Juan Jose Fernandez-Duran, Maria Mercedes Gregorio-Dominguez (2016). CircNNTSR: An R Package for the Statistical Analysis of Circular, Multivariate Circular, and Spherical Data Using Nonnegative Trigonometric Sums. Journal of Statistical Software, 70(6), 1-19. doi:10.18637/jss.v070.i06

Examples

ccoef<-nntsrandominitial(3)
nntsdensity(1,ccoef,3)
nntsdensity(1+pi,ccoef,3)
nntsdensity(c(1,1+pi),ccoef,3)