Abstract
Bounds on the distribution of the maximum of the absolute values of the "partial sums" constructed from a multi-dimensional array of independent random variables are derived and used to establish the weak convergence of certain random functions defined in terms of such "partial sums".
Citation
Michael J. Wichura. "Inequalities with Applications to the Weak Convergence of Random Processes with Multi-Dimensional Time Parameters." Ann. Math. Statist. 40 (2) 681 - 687, April, 1969. https://doi.org/10.1214/aoms/1177697741
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