This is a preview. Log in through your library . Abstract Through the study of a simple embedded martingale we obtain an extension of the Kesten-Stigum theorem and prove a central limit theorem for ...

This is a preview. Log in through your library . Abstract For each $k = 1, 2, \cdots$ let $n = n(k)$, let $m = m(k)$, and suppose $y_1^k, \cdots, y_n^k$ is an $m ...

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 ...