Abstract Let { X n , ≥ 1} be a sequence of independent or identically distributed dependent random variables, and let A subsets natural numbers 1}. In this paper, we describe the strong law large (SLLN) form $$ {\sum}_{i\in {A}_n}\left({X}_i-\mathrm{E}{\sum}_{i\in {A}_n}{X}_i\right)/{b}_n\to 0\ \mathrm{a}.\mathrm{s}. ∑...