summation of random series

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#68

From: Gerald Edgar
Date: Fri, 11 Sep 1992 13:59

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There is a theorem, probably due to Paul Levy, stated below.  Where can
it be found in a modern textbook?

If a series of independent (mean zero, say) random variables diverges a.s.,
then applying a summation method won't help: it will still diverge a.s.
-- 
  Gerald A. Edgar                Internet:  edgar@mps.ohio-state.edu
  Department of Mathematics      Bitnet:    EDGAR@OHSTPY
  The Ohio State University      telephone: 614-292-0395 (Office)
  Columbus, OH 43210             -292-4975 (Math. Dept.) -292-1479 (Dept. Fax)

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From: edgar@function.mps.ohio-state.edu (Gerald Edgar)
Subject: summation of random series
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Date: Fri, 11 Sep 1992 13:59:24 GMT
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