A Strong Law of Large Numbers with Applications to Self-Similar Stable Processes

Erkan Nane, Yimin Xiao, Aklilu Zeleke

Let $p\in (0,\infty )$ be a constant and let $\{{\xi }_n\}\subset L^p(\Omega ,\mathcal{F},\P )$ be a sequence of random variables. For any integers $m,n\ge 0$, denote $S_{m, n} = \sum_{k…