Abstract
In Sect. 3.1, the Bayesian area is defined. It contains the probable values of a parameter ξ and serves as the “error interval” of ξ. It is the basis of decisions, since it allows one to distinguish between probable and improbable data. It requires a measure µ(ξ) to be defined in the space of e. Examples are discussed in Sect. 3.2. The construction of the Bayesian interval is described in Sect. 3.3. We show in Sect. 3.4 that the Bayesian area does not necessarily exist. If it does not, one cannot make decisions.
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© 2003 Springer-Verlag Berlin Heidelberg
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Harney, H.L. (2003). Probable and Improbable Data. In: Bayesian Inference. Advanced Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06006-3_3
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DOI: https://doi.org/10.1007/978-3-662-06006-3_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05577-5
Online ISBN: 978-3-662-06006-3
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