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The Rational SPDE Approach for Gaussian Random Fields With General Smoothness

The Rational SPDE Approach for Gaussian Random Fields With General Smoothness

A popular approach for modeling and inference in spatial statistics is to represent Gaussian random fields as solutions to stochastic partial differential equations (SPDEs) of the form $L^{\beta}u = \mathcal{W}$, where $\mathcal{W}$ is Gaussian white noise, $L$ is a second-order differential operator, and $\beta>0$ is a parameter that determines the …