In this paper we study the dynamical behavior of a system approximated uniformly by a sequence of chaotic maps. We give examples to show that properties like sensitivity and denseness of periodic ...

Abstract In this paper we study the dynamical behavior of a system approximated uniformly by a sequence of chaotic maps. We give examples to show that properties like sensitivity and denseness of ...

In this paper, we derive uniform convergence rates of nonparametric estimators for continuous time diffusion processes. In particular, we consider kernel-based estimators of the Nadaraya–Watson type, ...

This paper considers a series estimator of 𝗕E [α (Y) λ (X) = λ̄], (α,λ) ∈ 𝒜 × Λ, indexed by function spaces, and establishes the estimator's uniform convergence rate over λ̄ ∈ R, α ∈ 𝐑, and λ ∈ Λ, ...

In many practical learning problems, training samples are not i.i.d., and there is an intrinsic dependency among samples. Therefore, theoretical study of learning with dependent data has recently ...