Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic data analysis on manifolds   Given an m-dimensional compact submanifold $\mathbf{M}$ of Euclidean space
$\mathbf{R}^s$, the concept of mean location of a distribution, related to mean
or expected vector, is generalized to more general $\mathbf{R}^s$-valued
functionals including median location, which is derived from the spatial
median. The asymptotic statistical inference for general functionals of
distributions on such submanifolds is elaborated. Convergence properties are
studied in relation to the behavior of the underlying distributions with
respect to the cutlocus. An application is given in the context of independent,
but not identically distributed, samples, in particular, to a multisample
setup.

4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin