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Asymptotic behavior of stable random fields

✍ Scribed by A. Katkauskaitė


Publisher
Springer
Year
1974
Tongue
English
Weight
466 KB
Volume
14
Category
Article
ISSN
0363-1672

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Asymptotics for linear random fields
✍ D. Marinucci; S. Poghosyan 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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