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An Invariance Principle for Triangular Arrays

✍ Scribed by Anthony D'Aristotile


Book ID
110254888
Publisher
Springer US
Year
2000
Tongue
English
Weight
119 KB
Volume
13
Category
Article
ISSN
0894-9840

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On the invariance principle for stationa
✍ Jorge D. Samur πŸ“‚ Article πŸ“… 1987 πŸ› Springer 🌐 English βš– 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.