activity
20092026
most citedAn extended family of circular distributions related to wrapped Cauchy distributions via Brownian motion

55 citations · 130 across the 15 of their papers we have counts for

collaborators

15 papers

math.ST2026

Möbius transport on spheres

Eduargo García-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 rearrang…

stat.ME2026

A bivariate cure copula model with zero-inflated gamma frailty for right-censored data

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…

stat.ME2025

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…

stat.ME2024★ 1 cited

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…

stat.ME2024

Measuring and testing tail equivalence

Takaaki Koike, Shogo Kato, Toshinao Yoshiba

We call two copulas tail equivalent if their first-order approximations in the tail coincide. As a special case, a copula is called tail symmetric if it is tail equivalent to the a…

stat.AP2022★ 2 cited

Traffic Count Data Analysis Using Mixtures of Kato--Jones Distributions

Kota Nagasaki, Shogo Kato, Wataru Nakanishi +1

We discuss the modelling of traffic count data that show the variation of traffic volume within a day. For the modelling, we apply mixtures of Kato-Jones distributions in which eac…

math.ST2021★ 1 cited

Measuring non-exchangeable tail dependence using tail copulas

Takaaki Koike, Shogo Kato, Marius Hofert

Quantifying tail dependence is an important issue in insurance and risk management. The prevalent tail dependence coefficient (TDC), however, is known to underestimate the degree o…

stat.ME2020

Copula-based measures of asymmetry between the lower and upper tail probabilities

Shogo Kato, Toshinao Yoshiba, Shinto Eguchi

We propose a copula-based measure of asymmetry between the lower and upper tail probabilities of bivariate distributions. The proposed measure has a simple form and possesses some…

stat.AP2020★ 18 cited

Flexible random-effects distribution models for meta-analysis

Hisashi Noma, Kengo Nagashima, Shogo Kato +2

In meta-analysis, the random-effects models are standard tools to address between-study heterogeneity in evidence synthesis analyses. For the random-effects distribution models, th…

math.ST2015★ 28 cited

Möbius transformation and a Cauchy family on the sphere

Shogo Kato, Peter McCullagh

We present some properties of a Cauchy family of distributions on the sphere, which is a spherical extension of the wrapped Cauchy family on the circle. The spherical Cauchy family…

stat.ME2015★ 1 cited

A flexible family of distributions on the cylinder

Shonosuke Sugasawa, Kunio Shimizu, Shogo Kato

We propose a flexible family of distributions, generalized -distributions, on the cylinder which is obtained as a conditional distribution of a trivariate distribution. The…

math.ST2014★ 1 cited

A characterization of a Cauchy family on the complex space

Shogo Kato, Peter McCullagh

It is shown that a family of distributions on the complex space is characterized as the only family such that the orbit of one distribution under a certain group of transformations…

math.ST2013★ 55 cited

An extended family of circular distributions related to wrapped Cauchy distributions via Brownian motion

Shogo Kato, M. C. Jones

We introduce a four-parameter extended family of distributions related to the wrapped Cauchy distribution on the circle. The proposed family can be derived by altering the settings…

stat.ME2012

Robust estimation of location and concentration parameters for the von Mises-Fisher distribution

Shogo Kato, Shinto Eguchi

Robust estimation of location and concentration parameters for the von Mises-Fisher distribution is discussed. A key reparametrisation is achieved by expressing the two parameters…

math.ST2009★ 23 cited

A distribution for a pair of unit vectors generated by Brownian motion

Shogo Kato

We propose a bivariate model for a pair of dependent unit vectors which is generated by Brownian motion. Both marginals have uniform distributions on the sphere, while the conditio…