Lang's Multinomial-Poisson Homogeneous (MPH) models and Homogeneous Linear Predictor (HLP) Multinomial-Poisson models include as special cases many models for contingency table analysis that have been introduced in the effort to overcome well-known limitations of the log-linear models. Here the definitions of MPH and HLP models are extended to include inequality constraints. It is shown that inequality constrained MPH and HLP models are very flexible and rich family of models for contingency table analysis. The inequality constrained hierarchical multinomial marginal models which are an important sub-class of MPH models are also examined. © 2009 SAGE Publications.

Cazzaro, M., Colombi, R. (2009). Multinomial-poisson models subject to inequality constraints. STATISTICAL MODELLING, 9(3), 215-233 [10.1177/1471082X0800900303].

Multinomial-poisson models subject to inequality constraints

CAZZARO, MANUELA;
2009

Abstract

Lang's Multinomial-Poisson Homogeneous (MPH) models and Homogeneous Linear Predictor (HLP) Multinomial-Poisson models include as special cases many models for contingency table analysis that have been introduced in the effort to overcome well-known limitations of the log-linear models. Here the definitions of MPH and HLP models are extended to include inequality constraints. It is shown that inequality constrained MPH and HLP models are very flexible and rich family of models for contingency table analysis. The inequality constrained hierarchical multinomial marginal models which are an important sub-class of MPH models are also examined. © 2009 SAGE Publications.
Articolo in rivista - Articolo scientifico
multinomial-poisson homogeneous models; marginal models; multivariate logit models; generalized odds ratios; constrained statistical inference
English
2009
9
3
215
233
none
Cazzaro, M., Colombi, R. (2009). Multinomial-poisson models subject to inequality constraints. STATISTICAL MODELLING, 9(3), 215-233 [10.1177/1471082X0800900303].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/3993
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