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 ...

Do you think there’s a triangle whose angles measure 41, 76 and 63 degrees? At first, answering this may seem easy. From geometry class we know that the sum of the measures of the interior angles of a ...