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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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Dades bibliogràfiques
Publicat a:Proc Natl Acad Sci U S A
Autor principal: Feller, William
Format: Artigo
Idioma:Inglês
Publicat: National Academy of Sciences 1969
Matèries:
Accés en línia: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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