A promising method for solving statistical problems in image analysis and integral equations is to add a smoothing step after the usual expectation and maximization steps of the EM algorithm (Silverman, 1990). This article gives some connections between this algorithm, known as EMS, and...

Dynamical epidemic studies are often based on the reported number of cases. For various purposes it would be helpful to have information about the numbers of susceptibles, but these data are rarely available. We show that under general theoretical assumptions it is possible to reconstruct, up to...

We derive a class of matrix valued covariance functions where the direct and cross-covariance functions are Matérn. The parameters of the Matérn class are allowed to vary with location, yielding local variances, local ranges, local geometric anisotropies and local smoothnesses. We discuss...