In the present paper we obtain a new correlation inequality and use it for the purpose of extending the theory of the Almost Sure Local Limit Theorem to the case of lattice random sequences in the domain of attraction of a stable law. In particular, we prove ASLLT in the case of the normal domain of attraction of α--stable law, α∈(1,2).
A general correlation inequality and the Almost Sure Local Limit Theorem for random sequences in the domain of attraction of a stable law
GIULIANO, RITA;
2014-01-01
Abstract
In the present paper we obtain a new correlation inequality and use it for the purpose of extending the theory of the Almost Sure Local Limit Theorem to the case of lattice random sequences in the domain of attraction of a stable law. In particular, we prove ASLLT in the case of the normal domain of attraction of α--stable law, α∈(1,2).File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
aslltstable6c.pdf
accesso aperto
Descrizione: Articolo principale
Tipologia:
Documento in Pre-print
Licenza:
Creative commons
Dimensione
321.52 kB
Formato
Adobe PDF
|
321.52 kB | Adobe PDF | Visualizza/Apri |
|
Giuliano_523668.pdf
solo utenti autorizzati
Tipologia:
Versione finale editoriale
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
229.34 kB
Formato
Adobe PDF
|
229.34 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
