International Statistical Review

Comments on ``A Foundational Justification for a Weighted Likelihood Approach to Inference''

Glenn Shafer

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Russell Bowater uses non-additive probability to interpret weighted likelihood. As I have written a great deal about non-additive probability, the editor has asked me to comment.

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Internat. Statist. Rev., Volume 72, Number 3 (2004), 331-334.

First available in Project Euclid: 8 December 2004

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Shafer, Glenn. Comments on ``A Foundational Justification for a Weighted Likelihood Approach to Inference''. Internat. Statist. Rev. 72 (2004), no. 3, 331--334.

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  • [1] Bayer, R, Ed. (1951). Congrès International de Philsophie des Sciences, Paris, 1949; IV: Calcul des Probabilités. In {Actualités Scientifiques et Industrielles}, No. 1146. Paris: Hermann.
  • [2] Bernard, J.-M., Seidenfeld, T. & Zaffalon, M. (2003). ISIPTA '03. Proceedings of the Third International Symposium on Imprecise Probabilities and their Applications. Waterloo, Canada: Carleton Scientific.
  • [3] Dempster, A.P. (1968). A generalization of {B}ayesian inference. Journal of the Royal Statistical Society, Series B, 30, 205-247.
  • [4] Edwards, A.W.F. (1972). Likelihood. Second edition 1992. Baltimore: Johns Hopkins.
  • [5] Fisher, R.A. (1973). Statistical Methods and Scientific Inference, third edition. First edition 1956, second 1959. New York: MacMillan.
  • [6] Fortet, R.M. (1951). Faut-il élargir les axiomes du calcul des probabilités?. In {Actualités Scientifiques et Industrielles}, No. 1146 Ed. R. Bayer, pp.35-47. Paris: Hermann.
  • [7] Shafer, G. (1976). A Mathematical Theory of Evidence. Princeton, NJ: Princeton University Press.
  • [8] Shafer, G. (1978). Non-additive probabilities in the work of {B}ernoulli and {L}ambert. Archive for History of Exact Sciences, 19, 309-370.
  • [9] Shafer, G., Gillett, P.R. & Scherl, R.B. (2003). A new understanding of subjective probability and its generalization to lower and upper prevision. International Journal of Approximate Reasoning, 33, 1-49.
  • [10] Shafer, G. & Vovk, V. (2001). Probability and Finance: It's Only a Game. New York: Wiley.
  • [11] Shafer, G. & Vovk, V. (2003). The sources of {K}olmogorov's {Grundbegriffe}. Working Paper \# 4,\newline
  • [12] Smith, C.A.B. (1965). Personal probabilities and statistical analysis. Journal of the Royal Statistical Society, Series A, 128, 469-499.
  • [13] Vovk, V. & Shafer, G. (2002). The game-theoretic capital asset pricing model. Working Paper \# 1,\newline
  • [14] Walley, P. (1991). Statistical Reasoning with Imprecise Probabilities. London: Chapman and Hall.
  • [15] Williams, P.M. (1976). Indeterminate Probabilities. In Formal Methods in the Methodology of Empirical Sciences, Eds. M. Przeł{e}\c{c}ki, K. Szaniawski and R. Wojcíckí, pp.229-246. Ossolineum & Reidel.