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Understanding Ignorance

  • C. C. Rodriguez
Part of the Fundamental Theories of Physics book series (FTPH, volume 31-32)

Abstract

Among the several schools of thought of the theory of inference two main groups are now clearly recognizable: Those that define the probability of an event as the limit of its relative frequency when independent identical trials of a random experiment are performed, and those that define probability in some other way. We shall agree to call the former group Frequentist and the latter Bayesian, only for identification purposes. The need for an alternative theory of probability arose in practice to handle situations when there was relevant prior information concerning the problem under scrutiny or when repeated trials were practically or theoretically impossible to perform.

Keywords

Bayesian Theory Conjugate Prior Bayesian Setting Noninformative Prior Total Ignorance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Box, G.E.P., & Tiao, G.C. 1973. Bayesian Inference in statistical Analysis. Addison-Wesley, Reading.zbMATHGoogle Scholar
  2. Jeffreys, H. 1961. Theory of Probability. Oxford University Press, London.zbMATHGoogle Scholar
  3. Mandelbrot, B.B. (1977). Fractals: Form, chance, and dimension. San Francisco, Freeman.zbMATHGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1988

Authors and Affiliations

  • C. C. Rodriguez
    • 1
  1. 1.Department of Mathematics and StatisticsState University of New York at AlbanyAlbanyUSA

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