Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Metrizing Vague Convergence of Random Measures with Applications on
  Bayesian Nonparametric Models   This paper deals with studying vague convergence of random measures of the
form $\mu_{n}=\sum_{i=1}^{n} p_{i,n} \delta_{\theta_i}$, where
$(\theta_i)_{1\le i \le n}$ is a sequence of independent and identically
distributed random variables with common distribution $\Pi$, $(p_{i,n})_{1 \le
i \le n}$ are random variables chosen according to certain procedures and are
independent of $(\theta_i)_{i \geq 1}$ and $\delta_{\theta_i}$ denotes the
Dirac measure at $\theta_i$. We show that $\mu_{n}$ converges vaguely to
$\mu=\sum_{i=1}^{\infty} p_{i} \delta_{\theta_i}$ if and only if
$\mu^{(k)}_{n}=\sum_{i=1}^{k} p_{i,n} \delta_{\theta_i}$ converges vaguely to
$\mu^{(k)}=\sum_{i=1}^{k} p_{i} \delta_{\theta_i}$ for all $k$ fixed. The
limiting process $\mu$ plays a central role in many areas in statistics,
including Bayesian nonparametric models. A finite approximation of the beta
process is derived from the application of this result. A simulated example is
incorporated, in which the proposed approach exhibits an excellent performance
over several existing algorithms.

21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th