Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A conjugate class of random probability measures based on tilting and
  with its posterior analysis   This article constructs a class of random probability measures based on
exponentially and polynomially tilting operated on the laws of completely
random measures. The class is proved to be conjugate in that it covers both
prior and posterior random probability measures in the Bayesian sense.
Moreover, the class includes some common and widely used random probability
measures, the normalized completely random measures (James (Poisson process
partition calculus with applications to exchangeable models and Bayesian
nonparametrics (2002) Preprint), Regazzini, Lijoi and Pr\"{u}nster (Ann.
Statist. 31 (2003) 560-585), Lijoi, Mena and Pr\"{u}nster (J. Amer. Statist.
Assoc. 100 (2005) 1278-1291)) and the Poisson-Dirichlet process (Pitman and Yor
(Ann. Probab. 25 (1997) 855-900), Ishwaran and James (J. Amer. Statist. Assoc.
96 (2001) 161-173), Pitman (In Science and Statistics: A Festschrift for Terry
Speed (2003) 1-34 IMS)), in a single construction. We describe an augmented
version of the Blackwell-MacQueen P\'{o}lya urn sampling scheme (Blackwell and
MacQueen (Ann. Statist. 1 (1973) 353-355)) that simplifies implementation and
provide a simulation study for approximating the probabilities of partition
sizes.

25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas