Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical models, likelihood, penalized likelihood and hierarchical
  likelihood   We give an overview of statistical models and likelihood, together with two
of its variants: penalized and hierarchical likelihood. The Kullback-Leibler
divergence is referred to repeatedly, for defining the misspecification risk of
a model, for grounding the likelihood and the likelihood crossvalidation which
can be used for choosing weights in penalized likelihood. Families of penalized
likelihood and sieves estimators are shown to be equivalent. The similarity of
these likelihood with a posteriori distributions in a Bayesian approach is
considered.

27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys