TY - JOUR AU - O. V. Ivanov AU - I. V. Orlovs’kyi PY - 2017/01/25 Y2 - 2024/03/28 TI - Asymptotic properties of $M$-estimates of parameters in a nonlinear regression model with discrete time and singular spectrum JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 69 IS - 1 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1674 AB - We study a nonlinear regression model with discrete time and observations errors whose spectrum is singular. Sufficientconditions are obtained for the consistency, asymptotic uniqueness and asymptotic normality of the $M$-estimates of theunknown parameters. ER -