Interval Estimates for Posterior Probabilities, Applications to Border Cave

A. W. Ambergen and W. Schaafsma
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A. W. Ambergen: Mathematisch Centrum
W. Schaafsma: Rijksuniversiteit Groningen

A chapter in Multivariate Statistical Methods in Physical Anthropology, 1984, pp 115-134 from Springer

Abstract: Abstract In this paper asymptotic variances of estimators for the posterior probability that an individual belongs to one of k ≥ 2 populations are presented. It is assumed that a set of k prior probabilities and a p ≥ 1 dimensional vector of scores of the individual are given. In the model the populations are represented by multivariate normal distributions. The case in which the dispersion matrices are assumed to be homogeneous as well as the case without this assumption are treated. To illustrate the theory an example from physical anthropology is given.

Keywords: Posterior Probability; Prior Probability; Interval Estimate; Asymptotic Variance; Typicality Probability (search for similar items in EconPapers)
Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-6357-3_10

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DOI: 10.1007/978-94-009-6357-3_10

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