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

Friedrich Schreiber
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Friedrich Schreiber: Aachen University of Technology

A chapter in Probability and Bayesian Statistics, 1987, pp 423-430 from Springer

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.

Keywords: Posterior Density; Markov Chain Model; Prior Assumption; Prior Uniform Distribution; Knowledge Probability (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-1885-9_43

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DOI: 10.1007/978-1-4613-1885-9_43

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