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A strong law of large numbers for generalized almost sure central limit theorems
Author(s):
Rita
Giuliano
Antonini;
Luca
Pratelli
Original publication:
Teoriya Imovirnostei ta Matematichna Statistika,
vipusk 70
(2004).
Journal:
Theor. Probability and Math. Statist.
No. 70
(2005),
1-9.
MSC (2000):
Primary 60F15;
Secondary 60F05
Posted:
August 5, 2005
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Additional information
Abstract:
We prove a Strong Law of Large Numbers in which the variables are assumed to be asymptotically negligible and a generalized Almost Sure Central Limit Theorem is given. As an application we obtain a result about the so-called intersective ASCLT.
References:
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Additional Information:
Rita
Giuliano
Antonini
Affiliation:
Dipartimento di Matematica, Università di Pisa, Via Buonarroti 2, 56100 Pisa, Italy
Email:
giuliano@dm.unipi.it
Luca
Pratelli
Affiliation:
Accademia Navale di Livorno, Viale Italia 72, 57127 Livorno, Italy
Email:
pratel@mail.dm.unipi.it
DOI:
10.1090/S0094-9000-05-00626-5
PII:
S 0094-9000(05)00626-5
Received by editor(s):
14/JUL/2003
Posted:
August 5, 2005
Copyright of article:
Copyright
2005,
American Mathematical Society
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