CircNNTSRSymmetric (version 0.1.0)

nntsmeasureslocationdispersion: 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)

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

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

Author

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)