Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic Results on Adaptive False Discovery Rate Controlling
  Procedures Based on Kernel Estimators   The False Discovery Rate (FDR) is a commonly used type I error rate in
multiple testing problems. It is defined as the expected False Discovery
Proportion (FDP), that is, the expected fraction of false positives among
rejected hypotheses. When the hypotheses are independent, the
Benjamini-Hochberg procedure achieves FDR control at any pre-specified level.
By construction, FDR control offers no guarantee in terms of power, or type II
error. A number of alternative procedures have been developed, including
plug-in procedures that aim at gaining power by incorporating an estimate of
the proportion of true null hypotheses. In this paper, we study the asymptotic
behavior of a class of plug-in procedures based on kernel estimators of the
density of the $p$-values, as the number $m$ of tested hypotheses grows to
infinity. In a setting where the hypotheses tested are independent, we prove
that these procedures are asymptotically more powerful in two respects: (i) a
tighter asymptotic FDR control for any target FDR level and (ii) a broader
range of target levels yielding positive asymptotic power. We also show that
this increased asymptotic power comes at the price of slower, non-parametric
convergence rates for the FDP. These rates are of the form $m^{-k/(2k+1)}$,
where $k$ is determined by the regularity of the density of the $p$-value
distribution, or, equivalently, of the test statistics distribution. These
results are applied to one- and two-sided tests statistics for Gaussian and
Laplace location models, and for the Student model.

20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph