Weighted approximation of random functions

Let (Θ,A, P) be a probability space,X(t, θ) a random function continuous in probability fort ε 0, +∞) or (−∞, +∞)(θ ε Θ), andF(t) a positive function continuous fort ε 0, +∞) or (−∞, +∞). IfX(t, θ) andF(t) verify certain conditions, then there exists a sequence {Q _n (t, θ)} of random polynomials such that we have almost surely: fort ε 0, +∞) or (−∞, +∞),

Keywords:	Random function  continuous in probability  weighted approximation
本文献已被 CNKI SpringerLink 等数据库收录！