Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beyond Gaussian processes: Flexible Bayesian modeling and inference for
  geostatistical processes   This work proposes a novel family of geostatistical models to account for
features that cannot be properly accommodated by traditional Gaussian
processes. The family is specified hierarchically and combines the infinite
dimensional dynamics of Gaussian processes to that of any multivariate
continuous distribution. This combination is stochastically defined through a
latent Poisson process and the new family is called the Poisson-Gaussian
Mixture Process - POGAMP. Whilst the attempt of defining a geostatistical
process by assigning some arbitrary continuous distributions to be the
finite-dimension distributions usually leads to non-valid processes, the POGAMP
can have its finite-dimensional distributions to be arbitrarily close to any
continuous distribution and still be a valid process. Formal results to
establish its existence and other important properties, such as absolute
continuity w.r.t. a Gaussian process measure, are provided. Also, a MCMC
algorithm is carefully devised to perform Bayesian inference when the POGAMP is
discretely observed in some space domain. Simulations are performed to
empirically investigate the modelling properties of the POGAMP and the
efficiency of the MCMC algorithm. Finally, some real datasets are analysed to
illustrate the applicability of the proposed methodology.

25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom