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 ...
An iterated logarithm theorem is presented for sequences of independent, not necessarily bounded, random variables, the distribution of whose partial sums is related to the standard normal ...
The Central Limit Theorem is a statistical concept applied to large data distributions. It says that as you randomly sample data from a distribution, the means and standard deviations of the samples ...