摘要
研究了对任意Cantor型随机变量序列普遍成立的一类强大数定理。证明中利用条件期望的概念,采用测度的网微分法并运用纯分析运算得出结论,由推论得到随机变量序列已有的经典强大数定律以及对任意随机变量序列普遍成立的强大数定律。
A class of strong laws of large number for arbitrary Cantor-like stochastic sequence are investigated. By using the concept of conditional expectation, the methods of differentiation measure on net and pure analytical calculations are adopted in the deduction. As the corollaries, the classical strong law of large number for the stochastic sequence and the strong law of large number for the arbitrary stochastic sequence are obtained.
出处
《江苏科技大学学报（自然科学版）》
CAS
北大核心
2006年第3期26-29,共4页
Journal of Jiangsu University of Science and Technology:Natural Science Edition
关键词
Cantor型随机变量序列
网微分法
条件期望
任意随机序列
Cantor-ike stochastic sequence
differentiation measure on net
conditional expectation
arbitrary stochastic sequence
