4 papers · 1 filter
Fractional binomial distributions induced by the generalized binomial theorem and their applications
Masanori Hino, Ryuya Namba
We develop a fractional extension of the classical binomial distribution and the associated Bernstein operator, formulated within the framework of the generalized binomial theorem…
Martingale dimensions for a class of metric measure spaces
Masanori Hino
We establish a general analytic framework for determining the AF-martingale dimension of diffusion processes associated with strongly local regular Dirichlet forms on metric measur…
Asymptotic behaviors of fractional binomial distributions derived from the generalized binomial theorem
Masanori Hino, Ryuya Namba
A fractional binomial distribution, introduced by Hino and Namba (2024) via the generalized binomial theorem, is a fractional variant of the classical binomial distribution. Buildi…
Discrete approximation of reflected Brownian motions by Markov chains on partitions of domains
Masanori Hino, Arata Maki, Kouhei Matsuura
In this paper, we study discrete approximation of reflected Brownian motions on domains in Euclidean space. Our approximation is given by a sequence of Markov chains on partitions…