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math.ST2023
Structural equation modeling with latent variables for diffusion processes and its application to sparse estimation
Shogo Kusano, Masayuki Uchida
We consider structural equation modeling (SEM) with latent variables for diffusion processes based on high-frequency data. The quasi-likelihood estimators for parameters in the SEM…
math.ST2023
Parametric estimation for linear parabolic SPDEs in two space dimensions based on temporal and spatial increments
Yozo Tonaki, Yusuke Kaino, Masayuki Uchida
We deal with parameter estimation for a linear parabolic second-order stochastic partial differential equation in two space dimensions driven by two types of -Wiener processes b…