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.
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© 1987 Plenum Press, New York
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Schreiber, F. (1987). The Extended Bayes-Postulate, Its Potential Effect on Statistical Methods and Some Historical Aspects. In: Viertl, R. (eds) Probability and Bayesian Statistics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1885-9_43
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DOI: https://doi.org/10.1007/978-1-4613-1885-9_43
Publisher Name: Springer, Boston, MA
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