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An invariance principle for conditioned recurrent random walk attracted to a stable law

✍ Scribed by Barry Belkin

Publisher: Springer
Year: 1972
Tongue: English
Weight: 771 KB
Volume: 21
Category: Article
ISSN: 1432-2064
DOI: 10.1007/bf00535106

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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-