Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Means of a Dirichlet process and multiple hypergeometric functions   The Lauricella theory of multiple hypergeometric functions is used to shed
some light on certain distributional properties of the mean of a Dirichlet
process. This approach leads to several results, which are illustrated here.
Among these are a new and more direct procedure for determining the exact form
of the distribution of the mean, a correspondence between the distribution of
the mean and the parameter of a Dirichlet process, a characterization of the
family of Cauchy distributions as the set of the fixed points of this
correspondence, and an extension of the Markov-Krein identity. Moreover, an
expression of the characteristic function of the mean of a Dirichlet process is
obtained by resorting to an integral representation of a confluent form of the
fourth Lauricella function. This expression is then employed to prove that the
distribution of the mean of a Dirichlet process is symmetric if and only if the
parameter of the process is symmetric, and to provide a new expression of the
moment generating function of the variance of a
  Dirichlet process.

24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg