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The Extended Bayes-Postulate, Its Potential Effect on Statistical Methods and Some Historical Aspects

In: Probability and Bayesian Statistics

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  • Friedrich Schreiber

    (Aachen University of Technology)

Abstract

Summary The principal problem of statistics is considered where the value of a single parameter or of a parameter vector is a priori unknown. In this case the extended Bayes-postulate requiring the statement of two prior uniform distributions provides a unique parameter representation (leaving no freedom for nonlinear parameter transformations) and unique posterior statements which are useful for small as well as for large sample sizes. A short survey is given of recent work in this field which has been named the “Bayes-Laplace-statistics” and of its historical background.

Suggested Citation

  • Friedrich Schreiber, 1987. "The Extended Bayes-Postulate, Its Potential Effect on Statistical Methods and Some Historical Aspects," Springer Books, in: R. Viertl (ed.), Probability and Bayesian Statistics, pages 423-430, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-1885-9_43
    DOI: 10.1007/978-1-4613-1885-9_43
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