Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the restrictiveness of the hazard rate order   Every element $\theta=(\theta_1,\ldots,\theta_n)$ of the probability
$n$-simplex induces a probability distribution $P_\theta$ of a random variable
$X$ that can assume only a finite number of real values $x_1 < \cdots < x_n$ by
defining $P_\theta(X=x_i) = \theta_i, 1\leq i \leq n$. We show that if $\Theta$
and $\Theta'$ are two random vectors uniformly distributed on $\Delta^n$, then
$P(P_\Theta\leq_{\rm hr} P_{\Theta'})=\frac{1}{2^{n-1}}$ where $\leq_{\rm hr}$
denotes the hazard rate order.

32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
3
The categories of this paper are: physics
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph