Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large and moderate deviations principles for kernel estimators of the
  multivariate regression   In this paper, we prove large deviations principle for the Nadaraya-Watson
estimator and for the semi-recursive kernel estimator of the regression in the
multidimensional case. Under suitable conditions, we show that the rate
function is a good rate function. We thus generalize the results already
obtained in the unidimensional case for the Nadaraya-Watson estimator.
Moreover, we give a moderate deviations principle for these two estimators. It
turns out that the rate function obtained in the moderate deviations principle
for the semi-recursive estimator is larger than the one obtained for the
Nadaraya-Watson estimator.

34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc