It is known that given a regular matrix A and a bounded sequence
x there is a subsequence (respectively, rearrangement,
stretching) y of x such that the set of limit points of Ay includes the set of limit points of x. Using the notion of a
statistical limit point, we establish statistical convergence
analogues to these results by proving that every complex number
sequence x has a subsequence (respectively, rearrangement,
stretching) y such that every limit point of x is a statistical
limit point of y. We then extend our results to the more general
A-statistical convergence, in which A is an arbitrary
nonnegative matrix.