Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orthogonal series estimation of the pair correlation function of a
  spatial point process   The pair correlation function is a fundamental spatial point process
characteristic that, given the intensity function, determines second order
moments of the point process. Non-parametric estimation of the pair correlation
function is a typical initial step of a statistical analysis of a spatial point
pattern. Kernel estimators are popular but especially for clustered point
patterns suffer from bias for small spatial lags. In this paper we introduce a
new orthogonal series estimator. The new estimator is consistent and
asymptotically normal according to our theoretical and simulation results. Our
simulations further show that the new estimator can outperform the kernel
estimators in particular for Poisson and clustered point processes.

19
The categories of this paper are: eess
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph