Abstract The present paper deals with an extension of approximation properties generalized sampling series to weighted spaces functions. A pointwise and uniform convergence theorem for the is proved functions belonging spaces. rate by means moduli continuity presented a quantitative Voronovskaja-type obtained.

Precision medicine is an increasingly important area of research. Due to the heterogeneity individual characteristics, patients may respond differently treatments. One most goals for precision develop individualized treatment rules (ITRs) involving patients’ characteristics directly. As interesting topic in clinical research, many statistical methods have been developed recent years find optima...

M-estimation is a widely used technique for statistical inference. In this paper, we study properties of ordinary and weighted M-estimators for semiparametric models, especially when there exist parameters that cannot be estimated at the √ n convergence rate. Results on consistency, rates of convergence for all parameters, and √ n consistency and asymptotic normality for the Euclidean parameter...