5 papers
Multimodal Symmetric Circular Distributions Based on Nonnegative Trigonometric Sums and a Likelihood Ratio Test for Reflective Symmetry
Juan José Fernández-Durán, María Mercedes Gregorio-Domínguez
Fernández-Durán (2004) developed a family of circular distributions based on nonnegative trigonometric sums (NNTS) which is flexible for modeling datasets exhibiting multimodality…
Testing the Regular Variation Model for Multivariate Extremes with Flexible Circular and Spherical Distributions
Fernández-Durán, J. J., Gregorio-Domínguez +1
The regular variation model for multivariate extremes decomposes the joint distribution of the extremes in polar coordinates in terms of the angles and the norm of the random vecto…
Regression Models for Directional Data Based on Nonnegative Trigonometric Sums
J. J. Fernández-Durán, M. M. Gregorio-Domínguez
The parameter space of nonnegative trigonometric sums (NNTS) models for circular data is the surface of a hypersphere; thus, constructing regression models for a circular-dependent…
Multivariate Nonnegative Trigonometric Sums Distributions for High-Dimensional Multivariate Circular Data
Fernández-Durán, J. J., Gregorio-Domínguez +1
Fernández-Durán and Gregorio-Domínguez (2014) defined a family of probability distributions for a vector of circular random variables by considering multiple nonnegative trigonomet…
Test of Bivariate Independence Based on Angular Probability Integral Transform with Emphasis on Circular-Circular and Circular-Linear Data
Fernández-Durán, J. J., Gregorio-Domínguez +1
The probability integral transform (PIT) of a continuous random variable with distribution function is a uniformly distributed random variable . We define the a…