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2 results

  • 4 - Of Dice and Men*

  • Stephen Senn
  • Book:
    Dicing with Death
    Published online:
    18 November 2022
    Print publication:
    08 December 2022, pp 74-96

  • Summary

    A link is made between epistemology – that is to say, the philosophy of knowledge – and statistics. Hume's criticism of induction is covered, as is Popper's. Various philosophies of statistics are described.

  • A class of non-identifiable stochastic models

  • Violet R. Cane
  • Journal:
    Journal of Applied Probability / Volume 14 / Issue 3 / September 1977
    Published online by Cambridge University Press:
    14 July 2016, pp. 475-482
    Print publication:
    September 1977

  • If events occur in time according to a stochastic process then, under not very restrictive conditions, each realization will appear to come from a Poisson process with its own rate provided that the events in the realization occur at effectively random times. This result is related to de Finetti's theorem on exchangeable events. Particular applications are to the Pólya process describing accidents and the pure birth process.