nntsmeasureslocationdispersion {CircNNTSRSymmetric} | R Documentation |
Moments of an NNTS density
Description
Computes the first moment, second moment, mean direction, dispersion, circular varance, coefficient of asymmetry and kurtosis from the given parameters of an NNTS density.
Usage
nntsmeasureslocationdispersion(cestimates,M=0)
Arguments
cestimates |
Matrix of (M+1)x2. The first column is the parameter numbers, and the second column is the c parameter vecto (or c estimates) of the NNTS model |
M |
Number of components in the NNTS density |
Value
firstmoment |
Value of the first trigonometric moment |
secondmoment |
Value of the second trigonometric moment |
meandirection |
Value of the mean direction |
dispersion |
Value of the dispersion |
circularvariance |
Value of the circular variance |
asymmetrycoefficient |
Value of the coefficient of asymmetry |
kurtosis |
Value of the kurtosis |
Author(s)
Juan Jose Fernandez-Duran y Maria Mercedes Gregorio-Dominguez
References
Fernández-Durán, J.J., Gregorio-Domínguez, M.M. (2025). Multimodal Symmetric Circular Distributions Based on Nonnegative Trigonometric Sums and a Likelihood Ratio Test for Reflective Symmetry, arXiv:2412.19501 [stat.ME] (available at https://arxiv.org/abs/2412.19501)
Examples
data(Ants_radians)
resants<-nntsmanifoldnewtonestimationgradientstop(data=Ants_radians, M = 2, iter=1000,
gradientstop=1e-10)
resants
nntsmeasureslocationdispersion(resants$cestimates,M=2)