Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform convergence of exact large deviations for renewal reward
  processes   Let (X_n,Y_n) be i.i.d. random vectors. Let W(x) be the partial sum of Y_n
just before that of X_n exceeds x>0. Motivated by stochastic models for neural
activity, uniform convergence of the form $\sup_{c\in I}|a(c,x)\operatorname
{Pr}\{W(x)\gecx\}-1|=o(1)$, $x\to\infty$, is established for probabilities of
large deviations, with a(c,x) a deterministic function and I an open interval.
To obtain this uniform exact large deviations principle (LDP), we first
establish the exponentially fast uniform convergence of a family of renewal
measures and then apply it to appropriately tilted distributions of X_n and the
moment generating function of W(x). The uniform exact LDP is obtained for cases
where X_n has a subcomponent with a smooth density and Y_n is not a linear
transform of X_n. An extension is also made to the partial sum at the first
exceedance time.

30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol