2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144748We prove a central limit theorem for linear triangular arrays under weak dependence conditions. Our result is then applied to the study of dependent random variables sampled by a $\bbZ$-valued transient random walk. This extends the results obtained by Guillotin-Plantard & Schneider (2003). An application to parametric estimation by random sampling is also provided.ProbabilityPrimary 60F05, 60G50, 62D05; Secondary 37C30, 37E05text