Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The tail empirical process for some long memory sequences   This paper describes limiting behaviour of tail empirical process associated
with long memory stochastic volatility models. We show that such process has
dichotomous behaviour, according to an interplay between a Hurst parameter and
a tail index. In particular, the limit may be non-Gaussian and/or degenerate,
indicating an influence of long memory. On the other hand, tail empirical
process with random levels never suffers from long memory. This is very
desirable from a practical point of view, since such the process may be used to
construct Hill estimator of the tail index. To prove our results we need to
establish several new results for regularly varying distribution functions,
which may be of independent interest.

24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat