Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parameter estimation with a class of outer probability measures   We explore the interplay between random and deterministic phenomena using a
representation of uncertainty based on the measure-theoretic concept of outer
measure. The meaning of the analogues of different probabilistic concepts is
investigated and examples of application are given. The novelty of this article
lies mainly in the suitability of the tools introduced for jointly representing
random and deterministic uncertainty. These tools are shown to yield intuitive
results in simple situations and to generalise easily to more complex cases.
Connections with Dempster-Shafer theory, the empirical Bayes methods and
generalised Bayesian inference are also highlighted.

14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg