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A note on moments of dividends

✍ Scribed by Hansjörg Albrecher; Hans U. Gerber

Publisher: Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2011
Tongue: English
Weight: 142 KB
Volume: 27
Category: Article
ISSN: 0168-9673
DOI: 10.1007/s10255-011-0074-x

No coin nor oath required. For personal study only.

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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