4 papers
An interpretable family of projected normal distributions and a related copula model for Bayesian analysis of hypertoroidal data
Shogo Kato, Gianluca Mastrantonio, Masayuki Ishikawa
This paper introduces two families of probability distributions for Bayesian analysis of hypertoroidal data. The first family consists of symmetric distributions derived from the p…
Modelling toroidal and cylindrical data via the trivariate wrapped Cauchy copula with non-uniform marginals
Sophia Loizidou, Christophe Ley, Shogo Kato +1
In this paper, we propose a new flexible family of distributions for data that consist of three angles, two angles and one linear component, or one angle and two linear components.…
The trivariate wrapped Cauchy copula
Shogo Kato, Christophe Ley, Sophia Loizidou +1
In this paper, we propose a new flexible distribution for data on the three-dimensional torus which we call a trivariate wrapped Cauchy copula. Our trivariate copula has several at…
Regression for spherical responses with linear and spherical covariates using a scaled link function
Shogo Kato, Kassel L. Hingee, Janice L. Scealy +1
We propose a regression model in which the responses are spherical variables and the covariates include linear and/or spherical variables. A novel link function is introduced by ex…