摘要
In this paper, the following results have been proved: (i) If ( Xn,Fn ) is a uniformly integrable super(sub)-Mil, then (X.) lower (upper)-semiconverges (a. s. ) to an integrable random variable; (ii) If (Xn,Fn) is a uniformly integrable adapted sequence, then that (Xn) lower(upper)-semiconverges (a. s. ) is equivalent to that (Xn,Fn)is a super(sub)-Mil; and (iii) If (Xn,Fn) is a super(sub)-Mil of class (c-)((c+)), then (Xn) is lower(upper)-semiconvergent (a. s, ).
In this paper, the following results have been proved: (i) If ( Xn,Fn ) is a uniformly integrable super(sub)-Mil, then (X.) lower (upper)-semiconverges (a. s. ) to an integrable random variable; (ii) If (Xn,Fn) is a uniformly integrable adapted sequence, then that (Xn) lower(upper)-semiconverges (a. s. ) is equivalent to that (Xn,Fn)is a super(sub)-Mil; and (iii) If (Xn,Fn) is a super(sub)-Mil of class (c-)((c+)), then (Xn) is lower(upper)-semiconvergent (a. s, ).
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1992年第1期 39-47,共9页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
