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The LIL convergence for stationary linear random field

✍ Scribed by He Shuyuan


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1996
Tongue
English
Weight
602 KB
Volume
12
Category
Article
ISSN
1439-7617

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Asymptotics for linear random fields
✍ D. Marinucci; S. Poghosyan πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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