The asymptotic distribution of the range and normalized range of the sum of n independent variables is derived using the theory of Brownian motion.
CITATION STYLE
Feller, W. (1951). The Asymptotic Distribution of the Range of Sums of Independent Random Variables. The Annals of Mathematical Statistics, 22(3), 427–432. https://doi.org/10.1214/aoms/1177729589
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