Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A constructive definition of the beta process   We derive a construction of the beta process that allows for the atoms with
significant measure to be drawn first. Our representation is based on an
extension of the Sethuraman (1994) construction of the Dirichlet process, and
therefore we refer to it as a stick-breaking construction. Our first proof uses
a limiting case argument of finite arrays. To this end, we present a finite
sieve approximation to the beta process that parallels that of Ishwaran &
Zarepour (2002) and prove its convergence to the beta process. We give a second
proof of the construction using Poisson process machinery. We use the Poisson
process to derive almost sure truncation bounds for the construction. We
conclude the paper by presenting an efficient sampling algorithm for
beta-Bernoulli and beta-negative binomial process models.

30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph