A finite mixture model for multivariate counts under endogenous selectivity


Alfò, Marco, Maruotti, Antonello and Trovato, Giovanni (2011) A finite mixture model for multivariate counts under endogenous selectivity. Statistics and Computing, 21, (2), 185-202. (doi:10.1007/s11222-009-9159-2).

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Description/Abstract

We describe a selection model for multivariate counts, where association between the primary outcomes and the endogenous selection source is modeled through outcome-specific latent effects which are assumed to be dependent across equations. Parametric specifications of this model already exist in the literature; in this paper, we show how model parameters can be estimated in a finite mixture context. This approach helps us to consider overdispersed counts, while allowing for multivariate association and endogeneity of the selection variable. In this context, attention is focused both on bias in estimated effects when exogeneity of selection (treatment) variable is assumed, as well as on consistent estimation of the association between the random effects in the primary and in the treatment effect models, when the latter is assumed endogeneous. The model behavior is investigated through a large scale simulation experiment. An empirical example on health care utilization data is provided.

Item Type: Article
ISSNs: 0960-3174 (print)
1573-1375 (electronic)
Keywords: multivariate counts, selection models, random effects, nonparametric ML, finite mixtures
Subjects: H Social Sciences > HA Statistics
Q Science > QA Mathematics > QA76 Computer software
Divisions: Faculty of Social and Human Sciences > Southampton Statistical Sciences Research Institute
Faculty of Social and Human Sciences > Mathematical Sciences > Statistics
ePrint ID: 341364
Date Deposited: 23 Jul 2012 13:42
Last Modified: 27 Mar 2014 20:24
URI: http://eprints.soton.ac.uk/id/eprint/341364

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