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
Englisch

Erschienen in
Series: Quaderni di Dipartimento ; No. 136

Klassifikation
Wirtschaft
Thema
Posterior distribution
Random probability measure
Regular conditional distribution

Ereignis
Geistige Schöpfung
(wer)
Berti, Patrizia
Rigo, Pietro
Ereignis
Veröffentlichung
(wer)
Università degli Studi di Pavia, Dipartimento di Economia Politica e Metodi Quantitativi (EPMQ)
(wo)
Pavia
(wann)
2010

Handle
Letzte Aktualisierung
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

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