Objective Bayesian analysis for a capture–recapture model

Chang Xu (), Dongchu Sun () and Chong He ()

Annals of the Institute of Statistical Mathematics, 2014, vol. 66, issue 2, 245-278

Abstract: In this paper, we study a special capture–recapture model, the $$M_t$$ M t model, using objective Bayesian methods. The challenge is to find a justified objective prior for an unknown population size $$N$$ N . We develop an asymptotic objective prior for the discrete parameter $$N$$ N and the Jeffreys’ prior for the capture probabilities $$\varvec{\theta }$$ θ . Simulation studies are conducted and the results show that the reference prior has advantages over ad-hoc non-informative priors. In the end, two real data examples are presented. Copyright The Institute of Statistical Mathematics, Tokyo 2014

Keywords: Capture–recapture; Objective prior; Frequentist property (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10463-013-0413-1

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