Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Equivalence of f-Divergence Balls and Density Bands in Robust
  Detection   The paper deals with minimax optimal statistical tests for two composite
hypotheses, where each hypothesis is defined by a non-parametric uncertainty
set of feasible distributions. It is shown that for every pair of uncertainty
sets of the f-divergence ball type, a pair of uncertainty sets of the density
band type can be constructed, which is equivalent in the sense that it admits
the same pair of least favorable distributions. This result implies that robust
tests under $f$-divergence ball uncertainty, which are typically only minimax
optimal for the single sample case, are also fixed sample size minimax optimal
with respect to the equivalent density band uncertainty sets.

9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics