Parameter estimations for SPDEs with multiplicative fractional noise

Details Parameter estimations for SPDEs with multiplicative fractional noise Parameter estimations for SPDEs with multiplicative fractional noise

2010-02-20

arxiv.org/abs/1002.3911v2

Mathematics

Probability

Scientific paper

We study parameter estimation problem for diagonalizable stochastic partial differential equations driven by a multiplicative fractional noise with any Hurst parameter $H\in(0,1)$. Two classes of estimators are investigated: traditional maximum likelihood type estimators, and a new class called closed-form exact estimators. Finally the general results are applied to stochastic heat equation driven by a fractional Brownian motion.

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