Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bivariate distributions with ordered marginals   This paper provides a characterization of all possible dependency structures
between two stochastically ordered random variables. The answer is given in
terms of copulas that are compatible with the stochastic order and the marginal
distributions. The extremal values for Kendall's $\tau$ and Spearman's $\rho$
for all these copulas are given in closed form. We also find an explicit form
for the joint distribution with the maximal entropy. A multivariate extension
and a generalization to random elements in partially ordered spaces are also
provided.

23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con