Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The restrictiveness of the hazard rate order and the moments of the
  maximal coordinate of a random vector uniformly distributed on the
  probability n-simplex   Continuing the work of [9] who defined the restrictiveness of stochastic
orders and calculated the restrictiveness of the usual stochastic order and the
likelihood ratio order, we calculate the restrictiveness of the hazard rate
order. Inspired by the works of [17] and [24], we propose a possible
application of the restrictiveness results in randomness testing. We then apply
a dimension reduction technique, that proved useful in obtaining the
restrictiveness results, and provide an alternative proof for Whitworth's
formula. By integrating the formula, we derive the moments of the maximal
coordinate of a random vector that is uniformly distributed on the probability
$n$-simplex.

37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph