Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The DFR property for counting processes stopped at an independent random
  time   In the present paper we consider general counting processes stopped at a
random time $T$, independent of the process. Provided that $T$ has the
decreasing failure rate (DFR) property, we give sufficient conditions on the
arrival times so that the number of events occurring before $T$ preserves the
DFR property of $T$. In particular, when the interarrival times are
independent, we consider applications concerning the DFR property of the
stationary number of customers waiting in queue for specific queuing models.

30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an