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One limit theorem for stationary ϕ-mixing sequences

✍ Scribed by S. A. Utev


Publisher
SP MAIK Nauka/Interperiodica
Year
1989
Tongue
English
Weight
123 KB
Volume
30
Category
Article
ISSN
0037-4466

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On the invariance principle for stationa
✍ 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.