Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From infinite urn schemes to decompositions of self-similar Gaussian
  processes   We investigate a special case of infinite urn schemes first considered by
Karlin (1967), especially its occupancy and odd-occupancy processes. We first
propose a natural randomization of these two processes and their
decompositions. We then establish functional central limit theorems, showing
that each randomized process and its components converge jointly to a
decomposition of certain self-similar Gaussian process. In particular, the
randomized occupancy process and its components converge jointly to the
decomposition of a time-changed Brownian motion $\mathbb B(t^\alpha),
\alpha\in(0,1)$, and the randomized odd-occupancy process and its components
converge jointly to a decomposition of fractional Brownian motion with Hurst
index $H\in(0,1/2)$. The decomposition in the latter case is a special case of
the decompositions of bi-fractional Brownian motions recently investigated by
Lei and Nualart (2009). The randomized odd-occupancy process can also be viewed
as correlated random walks, and in particular as a complement to the model
recently introduced by Hammond and Sheffield (2013) as discrete analogues of
fractional Brownian motions.

18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an