The invariance principle for random sums of a double random sequence
Bull. Korean Math. Soc. 2013 Vol. 50, No. 5, 1539-1554
Printed September 1, 2013
Zhenlong Gao and Liang Fang
Qufu Normal University, Hunan Normal University
Abstract : In this paper, we extend Donsker's invariance principle to the case of random partial sums processes based on a double sequence of row-wise i.i.d. random variables.
Keywords : double random sequence, invariance principle, weak convergence
MSC numbers : 60F05, 60F17
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