Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unitary transformations, empirical processes and distribution free
  testing   The main message in this paper is that there are surprisingly many different
Brownian bridges, some of them - familiar, some of them - less familiar. Many
of these Brownian bridges are very close to Brownian motions. Somewhat loosely
speaking, we show that all the bridges can be conveniently mapped onto each
other, and hence, to one "standard" bridge. The paper shows that, a consequence
of this, we obtain a unified theory of distribution free testing in $\mathbb
{R}^d$, both for discrete and continuous cases, and for simple and parametric
hypothesis.

10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom