The central limit theorem started as a bar trick for 18th-century gamblers. Now scientists rely on it every day.

Stochastic processes form the backbone of modern probability theory, describing systems that evolve randomly over time or space. They are instrumental in areas ranging from statistical physics to ...

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 ...

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 ...