Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the equivalence between standard and sequentially ordered hidden
  Markov models   Chopin (2007) introduced a sequentially ordered hidden Markov model, for
which states are ordered according to their order of appearance, and claimed
that such a model is a re-parametrisation of a standard Markov model. This note
gives a formal proof that this equivalence holds in Bayesian terms, as both
formulations generate equivalent posterior distributions, but does not hold in
Frequentist terms, as both formulations generate incompatible likelihood
functions. Perhaps surprisingly, this shows that Bayesian re-parametrisation
and Frequentist re-parametrisation are not identical concepts.

34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat