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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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Bibliografische gegevens
Gepubliceerd in:Proc Natl Acad Sci U S A
Hoofdauteur: Feller, William
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: National Academy of Sciences 1969
Onderwerpen:
Online toegang: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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