๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Khinchin's inequality for k-fold products of independent random variables

โœ Scribed by I. K. Matsak; A. N. Plichko

Publisher
SP MAIK Nauka/Interperiodica
Year
1988
Tongue
English
Weight
301 KB
Volume
44
Category
Article
ISSN
0001-4346

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Khinchin and Marcinkiewicz-Zygmund-type
Khinchin and Marcinkiewicz-Zygmund-type inequalities for quadratic forms of independent random variables
โœ Alexander Krantsberg ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 115 KB

Let { k } n k=1 be uniformly bounded independent random variables with E k = 0. It is proved that there exist absolute constants C and ยฟ 0 such that for any quadratic form = n i; k=1 a ik i k , where {a ik } n i; k=1 is a number sequence with a kk = 0, and ยฟ 0,

A Comparison Inequality for Sums of Inde
A Comparison Inequality for Sums of Independent Random Variables
โœ Stephen J. Montgomery-Smith; Alexander R. Pruss ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 83 KB

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