Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimators, escort probabilities, and phi-exponential families in
  statistical physics   The lower bound of Cramer and Rao is generalized to pairs of families of
probability distributions, one of which is escort to the other. This bound is
optimal for certain families, called phi-exponential in the paper. Their dual
structure is explored.

3
The categories of this paper are: physics
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph