Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Les Probabilit\'es D\'efaillance comme Indicateurs de Performance des
  Barri\`eres Techniques de S\'ecurit\'e - Approche Analytique   French environmental laws require industrialists to include probability
criteria in risk assessments, especially to define confidence levels for risk
management measures. This paper presents the failure probabilities as efficient
indicators for technical safety barrier performances. Generic formulas are
proposed to evaluate these probabilities, including failure rate, barrier
architecture, full and partial proof tests. In many cases, these results can be
directly used to assess safety barrier confidence levels.

30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat