Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Space and circular time log Gaussian Cox processes with application to
  crime event data   We view the locations and times of a collection of crime events as a
space-time point pattern. So, with either a nonhomogeneous Poisson process or
with a more general Cox process, we need to specify a space-time intensity. For
the latter, we need a \emph{random} intensity which we model as a realization
of a spatio-temporal log Gaussian process. Importantly, we view time as
circular not linear, necessitating valid separable and nonseparable covariance
functions over a bounded spatial region crossed with circular time. In
addition, crimes are classified by crime type. Furthermore, each crime event is
recorded by day of the year which we convert to day of the week marks.
  The contribution here is to develop models to accommodate such data. Our
specifications take the form of hierarchical models which we fit within a
Bayesian framework. In this regard, we consider model comparison between the
nonhomogeneous Poisson process and the log Gaussian Cox process. We also
compare separable vs. nonseparable covariance specifications.
  Our motivating dataset is a collection of crime events for the city of San
Francisco during the year 2012. We have location, hour, day of the year, and
crime type for each event. We investigate models to enhance our understanding
of the set of incidences.

20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc