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关于随机选择的一个强极限定理 被引量:1

A Strong Limit Theorem on Random Selection
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摘要 本文利用似然比和区间剖分法研究相依 N值随机变量序列选择的极限性质 ,得到关于赌博方法的一个强极限定理的若干推广 . In this paper the properties of random selection for the sequences of N valued random variables are investigated by using the technique of splitting unit interval and introducing the likelihood ratio, and some extensions of a strong limit theorem on gambling system are obtained.
出处 《数学理论与应用》 2000年第3期88-92,108,共6页 Mathematical Theory and Applications
关键词 强极限定理 随机选择 似然比 随机变量序列 and phrases Strong limit theorem, random selection, likelihood ratio, gambling system, m tuple.
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  • 1Loeve,M.Probability Theory I , 4th ed[]..1977

同被引文献6

  • 1Feller W.. An Introduction to Probability Theory and its Applications[M]. (2nd),Wiley,New York, 1957.
  • 2Billingsley P.. Probability and Measure[M]. Wiley,New York, 1986.
  • 3Kolmogorov A. N.. On the logical foundation of Probability theory[M]. New York:Springer, 1982.
  • 4Liu Wen. Relative entropy densities and a class of limit theorems of the sequence of m-valued random variables[J]. Ann. Probab. 1990,18(2) :829-839.
  • 5Liu Wen, Li Zhicai. A strong limit theorem for frequency of m-tuple of the sequence of integer valued random variables[J]. Chinese J. Math. (Taiwan), 1995,23(1) : 87-91.
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