Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted Approach to R\'enyi Entropy   R\'enyi entropy of order \alpha is a general measure of entropy. In this
paper we derive estimations for the R\'enyi entropy of the mixture of sources
in terms of the entropy of the single sources. These relations allow to compute
the R\'enyi entropy dimension of arbitrary order of a mixture of measures.
  The key for obtaining these results is our new definition of the weighted
R\'enyi entropy. It is shown that weighted entropy is equal to the classical
R\'enyi entropy.

15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics