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Almost sure and weak invariance principles for random variables attracted by a stable law

✍ Scribed by I. Berkes; H. Dehling

Publisher: Springer
Year: 1989
Tongue: English
Weight: 972 KB
Volume: 83
Category: Article
ISSN: 1432-2064
DOI: 10.1007/bf00964369

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Let Xi, i = 1, 2, . . ., be i.i.d. symmetric random variables in the domain of attraction of o symmetric stable distribution (J, with 0 < a < 2. Let Yj, i = 1, 2, ..., be ii.d. symmetric stable random variables with the common distribution a,. It is known that under certain condi-