Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: "Additivity" versus "Maxitivity" at the heart of the paradoxical and
  efficient nature of Statistics   Unlike the Probability Theory based on additivity, Statistical Inference
seems to hesitate between "Additivity" and a so-called "Maxitivity" approach.
After a brief overview of three types of principles for any (parametric)
statistical theory and the proof that these principles are mutually exclusive,
the paper shows that two kinds of support measures are conceivable, an additive
one and a maxitive one (based on maximization operators). Unfortunately, none
of them is able to cope with the ignorance part of the statistical experiment
and, in the meantime, with the partial information given through the structure
of the data. To conclude, the author promotes the combined use of both
approaches, as an efficient middle-of-the-road position for the statistician.

3
The categories of this paper are: physics
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat