Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ergodic theorems for queuing systems with dependent inter-arrival times   We study a G/GI/1 single-server queuing model with i.i.d.\ service times that
are independent of a stationary process of inter-arrival times. We show that
the distribution of the waiting time converges to a stationary law as time
tends to infinity provided that inter-arrival times satisfy a G\"artner-Ellis
type condition. A convergence rate is given and a law of large numbers
established. These results provide tools for the statistical analysis of such
systems, transcending the standard case with independent inter-arrival times.

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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
11
The categories of this paper are: hep-lat