ISSN:
1572-9230
Keywords:
Random field
;
Banach space
;
law of large numbers
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Strong convergence results are obtained for vector-valued random fields. Substantial development of Banach-valued random fields and summability results is needed to provide the framework for the major results since many plausible extensions fail for multi-indexed Banach-valued random variables. This development yields general convergence results for random fields in Banach spaces, including an Ito-Nisio theorem and strong laws of large numbers.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1022650616646
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