Arbeitspapier
A Skorohod Representation Theorem for Uniform Distance
Let µn be a probability measure on the Borel sigma-field on D[0, 1] with respect to Skorohod distance, n = 0. Necessary and sufficient conditions for the following statement are provided. On some probability space, there are D[0, 1]-valued random variables Xn such that Xn tilde µn for all n = 0 and ||Xn - X0|| --> 0 in probability, where ||·|| is the sup-norm. Such conditions do not require µ0 separable under ||·||. Applications to exchangeable empirical processes and to pure jump processes are given as well.
- Sprache
-
Englisch
- Erschienen in
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Series: Quaderni di Dipartimento ; No. 109
- Klassifikation
-
Wirtschaft
- Thema
-
Cadlag function Exchangeable empirical process Separable probability measure Skorohod representation theorem Uniform distance Weak convergence of probability measures
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Berti, Patrizia
Pratelli, Luca
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
-
20.09.2024, 08:25 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Objekttyp
- Arbeitspapier
Beteiligte
- Berti, Patrizia
- Pratelli, Luca
- Rigo, Pietro
- Università degli Studi di Pavia, Dipartimento di Economia Politica e Metodi Quantitativi (EPMQ)
Entstanden
- 2010
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