Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relational models for contingency tables   The paper considers general multiplicative models for complete and incomplete
contingency tables that generalize log-linear and several other models and are
entirely coordinate free. Sufficient conditions of the existence of maximum
likelihood estimates under these models are given, and it is shown that the
usual equivalence between multinomial and Poisson likelihoods holds if and only
if an overall effect is present in the model. If such an effect is not assumed,
the model becomes a curved exponential family and a related mixed
parameterization is given that relies on non-homogeneous odds ratios. Several
examples are presented to illustrate the properties and use of such models.

27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org