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Central limit theorems for non-linear functionals of Gaussian fields

✍ Scribed by Péter Breuer; Péter Major


Book ID
107880133
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
697 KB
Volume
13
Category
Article
ISSN
0047-259X

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Limit Theorems for the Non-linear Functi
✍ Samir Ben Hariz 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 193 KB

In this paper we consider two functional limit theorems for the non-linear functional of the stationary Gaussian process satisfying short range dependence conditions: the functional CLT for partial sum processes and the uniform CLT for a special class of functions. To carry out the proofs, we develo