Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A class of measure-valued Markov chains and Bayesian nonparametrics   Measure-valued Markov chains have raised interest in Bayesian nonparametrics
since the seminal paper by (Math. Proc. Cambridge Philos. Soc. 105 (1989)
579--585) where a Markov chain having the law of the Dirichlet process as
unique invariant measure has been introduced. In the present paper, we propose
and investigate a new class of measure-valued Markov chains defined via
exchangeable sequences of random variables. Asymptotic properties for this new
class are derived and applications related to Bayesian nonparametric mixture
modeling, and to a generalization of the Markov chain proposed by (Math. Proc.
Cambridge Philos. Soc. 105 (1989) 579--585), are discussed. These results and
their applications highlight once again the interplay between Bayesian
nonparametrics and the theory of measure-valued Markov chains.

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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an