Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rate of Convergence and Large Deviation for the Infinite Color P\'olya
  Urn Schemes   In this work we consider the \emph{infinite color urn model} associated with
a bounded increment random walk on $\Zbold^d$. This model was first introduced
by Bandyopadhyay and Thacker (2013). We prove that the rate of convergence of
the expected configuration of the urn at time $n$ with appropriate centering
and scaling is of the order ${\mathcal O}\left(\frac{1}{\sqrt{\log n}}\right)$.
Moreover we derive bounds similar to the classical Berry-Essen bound. Further
we show that for the expected configuration a \emph{large deviation principle
(LDP)} holds with a good rate function and speed $\log n$.

5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga