Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractal and Smoothness Properties of Space-Time Gaussian Models   Spatio-temporal models are widely used for inference in statistics and many
applied areas. In such contexts interests are often in the fractal nature of
the sample surfaces and in the rate of change of the spatial surface at a given
location in a given direction. In this paper we apply the theory of Yaglom
(1957) to construct a large class of space-time Gaussian models with stationary
increments, establish bounds on the prediction errors and determine the
smoothness properties and fractal properties of this class of Gaussian models.
Our results can be applied directly to analyze the stationary space-time models
introduced by Cressie and Huang (1999), Gneiting (2002) and Stein (2005),
respectively.

22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an