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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…
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…
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…