activity
20182026
most citedParametric estimation for a parabolic linear SPDE model based on sampled data

7 citations · 14 across the 13 of their papers we have counts for

collaborators

14 papers

math.ST2026

Small noise asymptotics for linear parabolic SPDEs in two space dimensions with unknown damping factors

Yozo Tonaki, Yusuke Kaino, Masayuki Uchida

We study parametric estimation for second order linear parabolic stochastic partial differential equations in two space dimensions with a small volatility parameter driven by a …

math.ST2025

Volatility change point detection for linear parabolic SPDEs

Yozo Tonaki, Yusuke Kaino, Masayuki Uchida

We consider change point detection for the volatility in second order linear parabolic stochastic partial differential equations based on high frequency spatio-temporal data. We gi…

math.ST2025

Estimation for linear parabolic SPDEs in two space dimensions with unknown damping parameters

Yozo Tonaki, Yusuke Kaino, Masayuki Uchida

We study parametric estimation for second order linear parabolic stochastic partial differential equations (SPDEs) in two space dimensions driven by two types of -Wiener process…

math.ST2024

Small dispersion asymptotics for an SPDE in two space dimensions using triple increments

Yozo Tonaki, Yusuke Kaino, Masayuki Uchida

We consider parametric estimation for a second order linear parabolic stochastic partial differential equation (SPDE) in two space dimensions driven by a -Wiener process with a…

math.ST2024★ 1 cited

Estimation for the damping factor of the driving process of an SPDE in two space dimensions

Yozo Tonaki, Yusuke Kaino, Masayuki Uchida

We study parametric estimation for a second order linear parabolic stochastic partial differential equation (SPDE) in two space dimensions driven by a -Wiener process based on h…

math.ST2024

Small diffusivity asymptotics for a linear parabolic SPDE in two space dimensions

Yozo Tonaki, Yusuke Kaino, Masayuki Uchida

We consider parameter estimation of the reaction term for a second order linear parabolic stochastic partial differential equation in two space dimensions driven by a -Wiener pr…