My apologies for chopping off the address of the last contribution.
Please reply to Messan Amewou-Atisso <[log in to unmask]> re;
Nonparametric Density Estimation
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From: Etienne Rivot <[log in to unmask]>
Subject: hierarchical model for binomial N order
Dear Bugs users,
A suitable prior distribution for the population size of a Binomial B(N,p)
may be a Poisson(lambda) law.
I would like to use a hierarchical model for k population sizes
N[1],...,N[k] , with a hierarchical structure specified by the conditionnal
prior
P(N[i] | lambda) = Poisson(lambda)
and a relatively vague prior on lambda such as P(lambda) = 1/lambda.
Unfortunately, such a hierarchical sructure is impossible with WinBUGS
because Poisson priors can only be specified for a single unknown order N
of a binomial observation (one of the restriction detailed in the paragraph
9.1 of the WinBUGS Manual).
As well, the WinBUGS manual says that "a suitably constrained continuous
prior may be used for the order parameters ... ". Does someone know what
kind of "suitable continuous prior" may be used for such a case (gamma,
exponential ... ?).
I would greatly appreciate any idea about it.
Best regards,
Etienne.
Etienne RIVOT
*********************************************************************
Etudiant en thèse / Ph.D. Student
UMR Ecobiologie et Qualité des Hydrosystèmes continentaux
Institut National pour la Recherche Agronomique
65, rue de St Brieuc, CS 84215, 35042 Rennes cedex, FRANCE
Tel : +33 2 23 48 54 49 ; Fax : +33 2 23 48 54 40
Email : [log in to unmask]
Internet : http://www.rennes.inra.fr/
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