Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Passage times of perturbed subordinators with application to reliability   We consider a wide class of increasing L\'evy processes perturbed by an
independent Brownian motion as a degradation model. Such family contains almost
all classical degradation models considered in the literature. Classically
failure time associated to such model is defined as the hitting time or the
first-passage time of a fixed level. Since sample paths are not in general
increasing, we consider also the last-passage time as the failure time
following a recent work by Barker and Newby. We address here the problem of
determining the distribution of the first-passage time and of the last-passage
time. In the last section we consider a maintenance policy for such models.

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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
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The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
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The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ