Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Level set and density estimation on manifolds   We tackle the problem of the estimation of the level sets L_f({\lambda}) of
the density f of a random vector X supported on a smooth manifold M\subsetR^d ,
from an iid sample of X. To do that we introduce a kernel-based estimator f^n,h
, which is a slightly modified version of the one proposed in [45], and proves
its a.s. uniform convergence to f . Then, we propose two estimators of L f
({\lambda}), the first one is a plug-in: L f^n,h ({\lambda}), which is proven
to be a.s. consistent in Hausdorff distance and distance in measure, if L
f({\lambda}) does not meet the boundary of M . While the second one assumes
that L f({\lambda}) is r-convex, and is estimated by means of the r-convex hull
of L f^n,h({\lambda}). The performance of our proposal is illustrated through
some simulated examples. In a real data example we analyze the intensity and
direction of strong and moderate winds.

25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg