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Interval Estimates for Posterior Probabilities, Applications to Border Cave

In: Multivariate Statistical Methods in Physical Anthropology

Author

Listed:
  • A. W. Ambergen

    (Mathematisch Centrum)

  • W. Schaafsma

    (Rijksuniversiteit Groningen)

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.

Suggested Citation

  • A. W. Ambergen & W. Schaafsma, 1984. "Interval Estimates for Posterior Probabilities, Applications to Border Cave," Springer Books, in: G. N. Van Vark & W. W. Howells (ed.), Multivariate Statistical Methods in Physical Anthropology, pages 115-134, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-6357-3_10
    DOI: 10.1007/978-94-009-6357-3_10
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