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ON THE FLUCTUATIONS OF SUMS OF INDEPENDENT RANDOM VARIABLES

If X(1), X(2),... are independent random variables with zero expectation and finite variances, the cumulative sums S(n) are, on the average, of the order of magnitude S(n), where S(n)(2) = E(S(n)(2)). The occasional maxima of the ratios S(n)/S(n) are surprisingly large and the problem is to estimate...

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Bibliografiska uppgifter
I publikationen:Proc Natl Acad Sci U S A
Huvudupphov: Feller, William
Materialtyp: Artigo
Språk:Inglês
Utgiven: National Academy of Sciences 1969
Ämnen:
Länkar:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC223497/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16591770/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.63.3.637
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