Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Kolmogorov-Smirnov type test for two inter-dependent random variables   Consider $n$ iid random variables, where $\xi_1, \ldots, \xi_n$ are $n$
realisations of a random variable $\xi$ and $\zeta_1, \ldots, \zeta_n$ are $n$
realisations of a random variable $\zeta$. The distribution of each realisation
of $\xi$, that is the distribution of \emph{one} $\xi_i$, depends on the value
of the corresponding $\zeta_i$, that is the probability $P\left(\xi_i\leq
x\right)=F(x,\zeta_i)$. We develop a statistical test to see if the $\xi_1,
\ldots, \xi_n$ are distributed according to the distribution function
$F(x,\zeta_i)$. We call this new statistical test the condition
Kolmogorov-Smirnov test.

31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an