CircNNTSR (version 2.0)

nntsestimationSymmetric: NNTS Symmetric Coefficient estimation

Description

Computes the maximum likelihood estimates of the symmetric NNTS parameters

Usage

nntsestimationSymmetric(M = 0, data, maxit = 500)

Arguments

M

Number of components in the NNTS

data

a vector of angles in radians

maxit

maximum number of iterations in optimization algorithm

Value

• coef
  vector of length M+1, the first M components are the squared moduli of the c parameters the last number is the mean of symmetry
• loglik
  optimum loglikelihood value
• AIC
  Value of Akaike's Information Criterion
• BIC
  Value of Bayesian Information Criterion
• convergence
  An integer code: 0 indicates successful convergence; error codes are: 1 indicates that the iteration limit maxit has been reached, 10 indicates degeneracy of the Nelder-Mead simplex

References

Fernandez-Duran, J.J., Gregorio-Dominguez, M.M. (2009) Symmetric Circular Distributions Based on Nonnegative Trigonometric Sums. Working Paper, DE-C09.12, Department of Statistics, ITAM, Mexico

Examples

b<-c(runif(10,3*pi/2,2*pi-0.00000001),runif(10,pi/2,pi-0.00000001))
estS<-nntsestimationSymmetric(2,b)
nntsplotSymmetric(estS$coef,2)