Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact calculations for false discovery proportion with application to
  least favorable configurations   In a context of multiple hypothesis testing, we provide several new exact
calculations related to the false discovery proportion (FDP) of step-up and
step-down procedures. For step-up procedures, we show that the number of
erroneous rejections conditionally on the rejection number is simply a binomial
variable, which leads to explicit computations of the c.d.f., the {$s$-th}
moment and the mean of the FDP, the latter corresponding to the false discovery
rate (FDR). For step-down procedures, we derive what is to our knowledge the
first explicit formula for the FDR valid for any alternative c.d.f. of the
$p$-values. We also derive explicit computations of the power for both step-up
and step-down procedures. These formulas are "explicit" in the sense that they
only involve the parameters of the model and the c.d.f. of the order statistics
of i.i.d. uniform variables. The $p$-values are assumed either independent or
coming from an equicorrelated multivariate normal model and an additional
mixture model for the true/false hypotheses is used. This new approach is used
to investigate new results which are of interest in their own right, related to
least/most favorable configurations for the FDR and the variance of the FDP.

15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph