Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bayesian inference and prediction for mean-mixtures of normal
  distributions   We study frequentist risk properties of predictive density estimators for
mean mixtures of multivariate normal distributions, involving an unknown
location parameter $\theta \in \mathbb{R}^d$, and which include multivariate
skew normal distributions. We provide explicit representations for Bayesian
posterior and predictive densities, including the benchmark minimum risk
equivariant (MRE) density, which is minimax and generalized Bayes with respect
to an improper uniform density for $\theta$. For four dimensions or more, we
obtain Bayesian densities that improve uniformly on the MRE density under
Kullback-Leibler loss. We also provide plug-in type improvements, investigate
implications for certain type of parametric restrictions on $\theta$, and
illustrate and comment the findings based on numerical evaluations.

28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an