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seminario F. Bartolucci
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AVVISO DI SEMINARIO
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Giovedì 21 aprile alle ore 15:00, presso il Dipartimento di Economia Politica e
Metodi Quantitativi dell'Università di Pavia, via S. Felice 7, aula del
Consiglio di Facoltà (primo piano)
FRANCESCO BARTOLUCCI
Università di Perugia
terrà il seminario
A CLASS OF LATENT MARGINAL MODELS FOR CAPTURE-RECAPTURE
DATA WITH CONTINUOUS COVARIATES
ABSTRACT. We introduce a new class of finite mixture models for the
analysis of capture recapture data when continuous covariates are
available. The present approach exploits recent advances in marginal
parameterizations to model simultaneously and conditionally on
individual covariates, the size of the latent classes, the marginal
probabilities of being captured by each list given the latent and
possible higher order marginal interactions among lists conditionally
on the latent. An EM algorithm for ML estimation is described and an
expression for the expected information matrix of the observed data
is derived. In addition, a new method for computing confidence
interval for the size of the population with given covariate
configurations is proposed and its asymptotic properties are derived.
The analysis of a data set based on the Tuscany Cancer Registry is
used as an illustration of the method.
Keywords: Conditional inference; Latent class model; Marginal
parameterization; Profile confidence intervals; Rasch model.
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