Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal detection of weak positive latent dependence between two
  sequences of multiple tests   It is frequently of interest to jointly analyze two paired sequences of
multiple tests. This paper studies the problem of detecting whether there are
more pairs of tests that are significant in both sequences than would be
expected by chance. The detection boundary is derived in terms of parameters
such as the sparsity of the latent significance indicators of the tests in each
sequence, the effect sizes of the non-null tests, and the magnitude of the
dependence between the two sequences. A new test for detecting weak dependence
is also proposed, shown to be asymptotically adaptively optimal, studied in
simulations, and applied to study of genetic pleiotropy in 10 pediatric
autoimmune diseases.

22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con