Let(Ω,A,P)beaprobabilityspace,X(t,ω)arandomfunctioncontinuousinprobabilityfort∈[0,∞)or(-∞,+∞)(ω∈Ω),andF(t)apositivefunctioncontinuousfort∈[0,+∞)or(-∞,+∞).IfX(t,ω)andF(t)verifycertainconditions,thenthereexistaasequence{Qn(t,ω)}ofrandompolynomialssuchthatwehavealmostsurely:fort[0,+∞)or(-∞,+∞),lim↑n→+∞|X(t,ω)-Qn(t,ω)|/F(t)=0.
高校应用数学学报：英文版（B辑）
1995年4期
