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Bayesian calibration in the estimation of the age of rhinoceros
Authors:J L du Plessis  A J van der Merwe
Institution:(1) Department of Mathematical Statistics, Faculty of Science, University of the O.F.S., P.O. Box 339, 9300 Bloemfontein, Republic of South Africa
Abstract:In this paper the Bayesian approach for nonlinear multivariate calibration will be illustrated. This goal will be achieved by applying the Gibbs sampler to the rhinoceros data given by Clarke (1992, Biometrics, 48(4), 1081–1094). It will be shown that the point estimates obtained from the profile likelihoods and those calculated from the marginal posterior densities using improper priors will in most cases be similar.
Keywords:Anterior horn length  multivariate Bayesian calibration  nonlinear response model  credibility intervals  Gibbs sampler  posterior horn length  posterior distribution  rhinoceros data  Student-t family
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