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A Note on Cesaro Summation of Integrals

✍ Scribed by Grimshaw, M. E.

Book ID
120100938
Publisher
Oxford University Press
Year
1934
Tongue
English
Weight
228 KB
Volume
s1-9
Category
Article
ISSN
0024-6107

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A note on moments of the maximum of CesΓ 
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✍ Deli Li; Mei Ling Huang πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 289 KB

Let {Xn; n ~>1} be a sequence of independent real-valued random variables and {a~,k; k/> l,n >~1} an infinite matrix of real numbers with supn/an, k[ <~, k ~> 1. We provide some very general conditions which guarantee that E sup an, kXk < cx~ \ " I\*:L I/ for some p >0. This result is used to establ