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On non-scale-invariant infinitely divisible cascades

โœ Scribed by Chainais, P.; Riedi, R.; Abry, P.


Book ID
114638653
Publisher
IEEE
Year
2005
Tongue
English
Weight
825 KB
Volume
51
Category
Article
ISSN
0018-9448

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โœ Jorge D. Samur ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Springer ๐ŸŒ English โš– 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.