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The invariance principle for ϕ-mixing sequences

✍ Scribed by Norbert Herrndorf

Publisher
Springer
Year
1983
Tongue
English
Weight
520 KB
Volume
63
Category
Article
ISSN
1432-2064

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📜 SIMILAR VOLUMES

On the invariance principle for stationa
On the invariance principle for stationary ϕ-mixing triangular arrays with infinitely divisible limits
✍ Jorge D. Samur 📂 Article 📅 1987 🏛 Springer 🌐 English ⚖ 728 KB

Given a stationary, @mixing triangular array of Banach space valued random vectors whose row sums converge weakly to an infinitely divisible probability measure, necessary and sufficient conditions for the validity of the corresponding invariance principle in distribution are given.