Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A functional Generalized Hill process and applications   We are concerned in this paper with the functional asymptotic behaviour of
the sequence of stochastic processes T_{n}(f)=\sum_{j=1}^{j=k}f(j)(\log
X_{n-j+1,n}-\log X_{n-j,n}), indexed by some classes $\mathcal{F}$ of functions
$f:\mathbb{N} \backslash {0} \longmapsto \mathbb{R}_{+}$ and where $k=k(n)$
satisfies 1\leq k\leq n,k/n\rightarrow 0\text{as}n\rightarrow \infty. This is a
functional generalized Hill process including as many new estimators of the
extremal index when $F$ is in the extremal domain. We focus in this paper on
its functional and uniform asymptotic law in the new setting of weak
convergence in the space of bounded real functions. The results are next
particularized for explicit examples of classes $\mathcal{F} $.

34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th