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Probability inequalities for sums of independent random variables with values in a Banach space

✍ Scribed by I. F. Pinelis

Publisher: SP MAIK Nauka/Interperiodica
Year: 1986
Tongue: English
Weight: 251 KB
Volume: 39
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01170255

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We give a comparison inequality that allows one to estimate the tail probabilities of sums of independent Banach space valued random variables in terms of those of independent identically distributed random variables. More precisely, let X 1 X n be independent Banach-valued random variables. Let I