ON THE FLUCTUATIONS OF SUMS OF INDEPENDENT RANDOM VARIABLES*

AUTOR(ES)
RESUMO

If X1, X2,... are independent random variables with zero expectation and finite variances, the cumulative sums Sn are, on the average, of the order of magnitude Sn, where Sn2 = E(Sn2). The occasional maxima of the ratios Sn/Sn are surprisingly large and the problem is to estimate the extent of their probable fluctuations.

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