Abstract
We study the weak convergence of the row sums of a general triangular array of empirical processes converging to an arbitrary limit. In particular, our results apply to infinitesimal arrays and random series processes. We give some sufficient finite dimensional approximation conditions for the weak convergence of these processes. These conditions are necessary under quite minimal regularity assumptions.
Research partially supported by NSF Grant DMS-93-02583 and carried out at the Department of Mathematics of the University of Utah.
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Arcones, M.A. (1998). Weak Convergence of the Row Sums of a Triangular Array of Empirical Processes. In: Eberlein, E., Hahn, M., Talagrand, M. (eds) High Dimensional Probability. Progress in Probability, vol 43. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8829-5_1
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