Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Doubly uniform complete law of large numbers for independent point
  processes   We prove a law of large numbers in terms of complete convergence of
independent random variables taking values in increments of monotone functions,
with convergence uniform both in the initial and the final time. The result
holds also for the random variables taking values in functions of $2$
parameters which share similar monotonicity properties as the increments of
monotone functions. The assumptions for the main result are the H\"older
continuity on the expectations as well as moment conditions, while the sample
functions may contain jumps. In particular, we can apply the results to point
processes (counting processes) which lack Markov or martingale type properties.

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The categories of this paper are: stat
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The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci