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Remarks on the SLLN for linear random fields

โœ Scribed by Povilas Banys; Youri Davydov; Vygantas Paulauskas


Book ID
108267683
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
467 KB
Volume
80
Category
Article
ISSN
0167-7152

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Asymptotics for linear random fields
โœ D. Marinucci; S. Poghosyan ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 115 KB

We prove that partial sums of linear multiparameter stochastic processes can be represented as partial sums of independent innovations plus components that are uniformly of smaller order. This representation is exploited to establish functional central limit theorems and strong approximations for ra