Arbeitspapier
Exchangeable Sequences Driven by an Absolutely Continuous Random Measure
Let S be a Polish space and (Xn : n = 1) an exchangeable sequence of S-valued random variables. Let an(·) = P( Xn+1 in · | X1, . . . ,Xn) be the predictive measure and a a random probability measure on S such that an (weak) --> a a.s.. Two (related) problems are addressed. One is to give conditions for a << l a.s., where l is a (non random) sigma-finite Borel measure on S. Such conditions should concern the finite dimensional distributions L(X1, . . . ,Xn), n = 1, only. The other problem is to investigate whether ||an - a|| (a.s.) --> 0, where ||·|| is total variation norm. Various results are obtained. Some of them do not require exchangeability, but hold under the weaker assumption that (Xn) is conditionally identically distributed, in the sense of [2].
- Language
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Englisch
- Bibliographic citation
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Series: Quaderni di Dipartimento ; No. 142
- Classification
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Wirtschaft
- Subject
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Conditional identity in distribution
Exchangeability
Predictive measure
Random probability measure
- Event
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Geistige Schöpfung
- (who)
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Berti, Patrizia
Pratelli, Luca
Rigo, Pietro
- Event
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Veröffentlichung
- (who)
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Università degli Studi di Pavia, Dipartimento di Economia Politica e Metodi Quantitativi (EPMQ)
- (where)
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Pavia
- (when)
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2011
- Handle
- Last update
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10.03.2025, 11:42 AM CET
Data provider
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Berti, Patrizia
- Pratelli, Luca
- Rigo, Pietro
- Università degli Studi di Pavia, Dipartimento di Economia Politica e Metodi Quantitativi (EPMQ)
Time of origin
- 2011
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