Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inference for the proportional odds cumulative logit model with
  monotonicity constraints for ordinal predictors and ordinal response   The proportional odds cumulative logit model (POCLM) is a standard regression
model for an ordinal response. Ordinality of predictors can be incorporated by
monotonicity constraints for the corresponding parameters. It is shown that
estimators defined by optimization, such as maximum likelihood estimators, for
an unconstrained model and for parameters in the interior set of the parameter
space of a constrained model are asymptotically equivalent. This is used in
order to derive asymptotic confidence regions and tests for the constrained
model, involving simple modifications for finite samples. The finite sample
coverage probability of the confidence regions is investigated by simulation.
Tests concern the effect of individual variables, monotonicity, and a specified
monotonicity direction. The methodology is applied on real data related to the
assessment of school performance.

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The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
1
The categories of this paper are: cs
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an