2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133263The difference equations $ξ_{k}=af(ξ_{k-1})+ε_{k}$, where $(ε_k)$ is a square integrable difference martingale, and the differential equation ${\rm d}ξ=-af(ξ){\rm d}t+{\rm d}η$, where $η$ is a square integrable martingale, are considered. A family of estimators depending, besides the sample size $n$ (or the observation period, if time is continuous) on some random Lipschitz functions is constructed. Asymptotic optimality of this estimators is investigated.10 pagesStatistics TheoryDynamical SystemsApplications62F12; 60F05text