356 citations · 869 across the 4 of their papers we have counts for
4 papers
Adaptive Bayesian estimation using a Gaussian random field with inverse Gamma bandwidth
A. W. van der Vaart, J. H. van Zanten
We consider nonparametric Bayesian estimation inference using a rescaled smooth Gaussian field as a prior for a multidimensional function. The rescaling is achieved using a Gamma v…
Rates of contraction of posterior distributions based on Gaussian process priors
A. W. van der Vaart, J. H. van Zanten
We derive rates of contraction of posterior distributions on nonparametric or semiparametric models based on Gaussian processes. The rate of contraction is shown to depend on the p…
Reproducing kernel Hilbert spaces of Gaussian priors
A. W. van der Vaart, J. H. van Zanten
We review definitions and properties of reproducing kernel Hilbert spaces attached to Gaussian variables and processes, with a view to applications in nonparametric Bayesian statis…
Misspecification in infinite-dimensional Bayesian statistics
B. J. K. Kleijn, A. W. van der Vaart
We consider the asymptotic behavior of posterior distributions if the model is misspecified. Given a prior distribution and a random sample from a distribution , which may not…