Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On convergence of entropy of distribution functions in the max domain of
  attraction of max stable laws   Max stable laws are limit laws of linearly normalized partial maxima of
indepen- dent, identically distributed (iid) random variables (rvs). These are
analogous to stable laws which are limit laws of normalized partial sums of iid
rvs. In this paper, we study entropy limit theorems for distribution functions
in the max domain of attraction of max stable laws under linear normalization.
More specifically, we study the problem of convergence of the Shannon entropy
of linearly normalized partial maxima of iid rvs to the corresponding limit
entropy when the linearly normalized partial maxima converges to some
nondegenerate rv. We are able to show that the Shannon entropy not only
converges but, in fact, increases to the limit entropy in some cases. We
discuss several examples. We also study analogous results for the k-th upper
extremes.

36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph