In this paper we derive the central limit theorem for $\sum\nolimits_{i = 1}^n {{a_{ni}}{\xi _i}} $, where {ani, 1 ≤ i ≤ n} is a triangular array of nonnegative numbers such that supn ...
The Annals of Mathematical Statistics, Vol. 41, No. 2 (Apr., 1970), pp. 710-712 (3 pages) A limit theorem for random sums of independent random elements of D[ 0, 1] is proved. The theorem extends and ...
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