摘要
本文研究了拟概率空间上的强大数定律问题.利用类比的方法,在比概率测度空间更广范的拟概率空间上,提出了强大数定律的概念,获得了拟概率空间上强大数定律的相关结论,推广了强大数定律的研究范围和应用领域.
This paper studies the strong law of large numbers on quasi-probability space.Using analogy method,the concept of strong law of large numbers will be proposed on quasiprobability space,which is wider than probability space.Then some correlative theorems of strong law of large numbers are proven,which generalizes the ranges of study and application of strong law of large numbers.
出处
《数学杂志》
CSCD
北大核心
2012年第6期999-1004,共6页
Journal of Mathematics
基金
Supported by Natural Science Foundation of Hebei Province(F2011201106)
Natural Science Foundation of Hebei University(2011Q13)
关键词
强大数定律
拟概率测度
依拟概率1收敛
拟随机变量
strong law of large numbers
quasi-probability measure
converges with quasiprobability 1
quasi-random variables