Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Flatland Paradox   We revisit the flatland paradox proposed by \cite{ston1976} which is an
example of non-conglomerability. The aim of the paper is to show that the
improperness of the prior is not directly involved in the inconsistency. First,
we show that the choice of a flat prior is not adapted to the structure of the
parameter space and we consider an improper prior based on reference priors
with nuisance parameter for which the Bayesian analysis matches the intuitive
reasoning. Then, we propose an analysis by considering the flat prior as limit
of proper uniform priors. In order to use limiting arguments, we must make a
distinction between two different Bayesian paradigms. The first one is related
to the marginal model whereas the second one is related to the conditional
model. For the latter approach, we show that the inconsistency remains even
with proper priors provided that we reconsider the interpretation of prior
distributions.

8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th