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Outputs (17)

Foundations for temporal reasoning using lower previsions without a possibility space (2022)
Book Chapter
Troffaes, M. C., & Goldstein, M. (2022). Foundations for temporal reasoning using lower previsions without a possibility space. In T. Augustin, F. Gagliardi Cozman, & G. Wheeler (Eds.), Reflections on the Foundations of Probability and Statistics: Essays in Honor of Teddy Seidenfeld (69-96). (1). Springer Verlag. https://doi.org/10.1007/978-3-031-15436-2_4

We introduce a new formal mathematical framework for probability theory, taking random quantities to be the fundamental objects of interest, without reference to a possibility space, in spirit of de Finetti’s treatment of probability, Goldstein’s Bay... Read More about Foundations for temporal reasoning using lower previsions without a possibility space.

External Bayesian analysis for computer simulators (2011)
Book Chapter
Goldstein, M. (2011). External Bayesian analysis for computer simulators. In J. Bernardo, M. Bayarri, J. Berger, A. Dawid, D. Heckerman, A. Smith, & M. West (Eds.), BAYESIAN STATISTICS 9. Oxford University Press

Bayes linear analysis. (1999)
Book Chapter
Goldstein, M. (1999). Bayes linear analysis. In S. Kotz, C. Read, & D. Banks (Eds.), Encyclopaedia of Statistical Sciences Update Volume 3 (29-34). Wiley

Prior inferences for posterior judgements. (1997)
Book Chapter
Goldstein, M. (1997). Prior inferences for posterior judgements. In M. Chiara, K. Doets, D. Mundici, & J. Benthem (Eds.), Structure and norms in Science : Volume Two of the Tenth International Congress of Logic, Methodology and Philosophy of Science, Florence, August 1995 (55-71). Springer Netherlands. https://doi.org/10.1007/978-94-017-0538-7_4

We consider the minimal assumptions of temporal consistency that will allow us to make meaningful prior statements about our posterior judgements. These consistency conditions suggest a natural geometric interpretation of ‘prior inference’ which we d... Read More about Prior inferences for posterior judgements..