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avviso seminario
Istituto Metodi Quantitativi - Università L. Bocconi
Viale Isonzo, 25 - 20135 Milano
Tel. 02-58365629 - Fax 02-58365630
SEMINARIO
A New Bayesian method
for Nonparametric Capture-recapture Models
in Presence of Heterogeneity
Luca Tardella
Dipartimento di Statistica, Probabilità e Statistiche Applicate
Università di Roma “La Sapienza”
Giovedi', 22 febbraio 2001 - ore 16.00
aula IMQ - stanza 137
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Abstract
Capture-recapture models are among the oldest and most popular methods for
estimating how large a wild animal population is, though usefulness of
these models goes beyond zoological matters having been applied, among
others, to epidemiologic studies, socio-demographic investigations and even
to software reliability problems.
The intrinsic heterogeneity of individuals has been soon recognized as a
potential source of severe bias in the estimation procedures. To account
for this heterogeneity in the model a hierarchical structure has been
proposed where the probabilities that each animal is caught in a single
occasion are modeled as i.i.d. draws from a common unknown distribution F.
From the article by Burnham and Overton (1978) there has been general
agreement on the fact that modeling F with a parametric curve is not
satisfactory. Henceforth many nonparametric solutions have been developed
for instance (Smith and van Belle 1984); Chao (1989); (Norris and Pollock
1996).
Recently a Bayesian solution has been also provided that makes use of a
Dirichlet process prior for F (Basu 1998). Here we suggest an alternative
Bayesian approach that relies on a different parameterizations which still
maintains no assumptions on the shape of F but drives the problem back to a
finite-dimensional setting. Applications of the new methodology to computer
simulated data as well as on-field simulations and other real data sets are
provided.
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