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math.PR2019★ 1 cited
Drift Estimation for Discretely Sampled SPDEs
Igor Cialenco, Francisco Delgado-Vences, Hyun-Jung Kim
The aim of this paper is to study the asymptotic properties of the maximum likelihood estimator (MLE) of the drift coefficient for fractional stochastic heat equation driven by an…
math.ST2019
Statistical Analysis of Some Evolution Equations Driven by Space-only Noise
Igor Cialenco, Hyun-Jung Kim, Sergey V. Lototsky
We study the statistical properties of stochastic evolution equations driven by space-only noise, either additive or multiplicative. While forward problems, such as existence, uniq…