Arbeitspapier
A Consistency Theorem for Regular Conditional Distributions
Let (omega, beta) be a measurable space, An in B a sub-sigma-field and µn a random probability measure, n >= 1. In various frameworks, one looks for a probability P on B such that µn is a regular conditional distribution for P given An for all n. Conditions for such a P to exist are given. The conditions are quite simple when (omega, beta) is a compact Hausdorff space equipped with the Borel or the Bairesigma-field (as well as under other similar assumptions). Such conditions are then applied to Bayesian statistics.
- Sprache
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Englisch
- Erschienen in
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Series: Quaderni di Dipartimento ; No. 136
Random probability measure
Regular conditional distribution
Rigo, Pietro
- Handle
- Letzte Aktualisierung
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12.07.2024, 13:22 MESZ
Objekttyp
- Arbeitspapier
Beteiligte
- Berti, Patrizia
- Rigo, Pietro
- Università degli Studi di Pavia, Dipartimento di Economia Politica e Metodi Quantitativi (EPMQ)
Entstanden
- 2010