Tonaki, Y., Kaino, Y. and Uchida, M. (2026). Small dispersion asymptotics for an SPDE in two space dimensions using triple increments. Journal of Statistical Planning and Inference, 241, 106333.
Tonaki, Y., Kaino, Y. and Uchida, M. (2025). Small diffusivity asymptotics for a linear parabolic SPDE in two space dimensions. Statistical Inference for Stochastic Processes, 28(2), 11.
Tonaki, Y., Kaino, Y. and Uchida, M. (2025). Parametric estimation for linear parabolic SPDEs in two space dimensions based on temporal and spatial increments. Metrika, 88(5), 601-656.
Tonaki, Y., Kaino, Y. and Uchida, M. (2024). Parameter estimation for a linear parabolic SPDE model in two space dimensions with a small noise. Statistical Inference for Stochastic Processes, 27(1), 123-179.
Tonaki, Y., Kaino, Y. and Uchida, M. (2023). Parameter estimation for linear parabolic SPDEs in two space dimensions based on high frequency data. Scandinavian Journal of Statistics, 50(4), 1568-1589.
Tonaki, Y. and Uchida, M. (2023). Change point inference in ergodic diffusion processes based on high frequency data. Stochastic Processes and their Applications, 158, 1-39.
Tonaki, Y., Kaino, Y. and Uchida, M. (2023). Estimation for change point of discretely observed ergodic diffusion processes. Scandinavian Journal of Statistics, 50(1), 142-183.
Tonaki, Y., Kaino, Y. and Uchida, M. (2022). Adaptive tests for parameter changes in ergodic diffusion processes from discrete observations. Statistical Inference for Stochastic Processes, 25(2), 397-430.
Tonaki, Y., Kaino, Y. and Uchida, M. (2025). Estimation for linear parabolic SPDEs in two space dimensions with unknown damping parameters. arXiv:2504.09872.
Tonaki, Y., Kaino, Y. and Uchida, M. (2024). Estimation for the damping factor of the driving process of an SPDE in two space dimensions. arXiv:2407.00953.
Tonaki, Y. (2021). Statistical inference for parameter changes in ergodic diffusion processes (master's thesis). Osaka University, Toyonaka, Japan.
Tonaki, Y. (2023). Statistical change point inference for ergodic diffusion processes based on high frequency data (doctor's thesis). Osaka University, Toyonaka, Japan.