1) almost sure convergence
概率1收敛
2) almost certain convergence
以概率1收敛
3) convergence with probability one
依概率1收敛
6) probability convergence
依概率收敛
1.
Through almost sure convergence of random variables, the probability convergence can be derived; and further the weak convergence can be derived.
由随机变量序列几乎处处收敛可推出其依概率收敛,进而可推出其依分布收敛,可见判别几乎处处收敛的重要性。
2.
In this paper,we study the mutual relations of complete convergence,almost everywhere converge,convergence in the mean of order r and the probability convergence.
研究了复值随机变量序列的完全收敛,几乎处处收敛,r阶平均收敛,依概率收敛之间的相互关系,得到了几个有意义的结论。
3.
In this paper,we discuss the mutual relation of complete convergence,almost everywhere converge,convergence in the mean of order r,probability convergence and convergence in distribution for real valued random variable sequence{ξ n},under the complete probability space.
在完备的概率空间 (Ω,, P)下,讨论了实值随机变量序列 {ξ n}的完全收敛、几乎处处收敛、 r次平均收敛、依概率收敛、依分布收敛之间的相互关系,得到若干有意义的常用结论。
补充资料:以概率1收敛
以概率1收敛
convergence with probability one;
以概率1收敛{阴ve甩e毗衍thP找由.bi峋.代cx晤“M.,‘e .epo,T二oeT‘沁峨口.皿.”a】 见几乎必然收敛(conver罗n毋,almost一certain)·
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