4 papers
Möbius transport on spheres
Eduargo GarcÃa-Portugués, Shogo Kato
The Möbius transformation that generates the spherical Cauchy distribution from the uniform is the tangent-normal lift of a one-dimensional optimal transport: the monotone rearran…
A bivariate cure copula model with zero-inflated gamma frailty: dependence in both cure fractions and survival times
Masaki Hino, Shogo Kato, Takeshi Emura
In biomedical studies, paired survival data arise naturally when two event times are observed within the same subject. Existing statistical models seldom accommodate both cure frac…
Minimum Copula Divergence for Robust Estimation
Shinto Eguchi, Shogo Kato
This paper introduces a robust estimation framework based solely on the copula function. We begin by introducing a family of divergence measures tailored for copulas, including the…
Directional data analysis using the spherical Cauchy and the Poisson kernel-based distribution
Michail Tsagris, Panagiotis Papastamoulis, Shogo Kato
In 2020, two novel distributions for the analysis of directional data were introduced: the spherical Cauchy distribution and the Poisson kernel-based distribution. This paper provi…