Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (5): 565-572.
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YANG Wei-Guo, LIU Wen
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江苏省教育厅自然科学基金02KJD110003资助项目
Abstract:
In this paper, the authors study the strong limit theorems for an arbitrary stoc ha stic sequence. As corollaries, a strong law of large numbers for a martingale di ff erence sequence and a class of strong limit theorems of equitable ratios for an arb itrary stochastic sequence are obtained. We also study the strong limit theorem for estimation of the sum of a stochastic sequence.
Key words: Strong limit theorem, Martingale difference sequence, Equitable ratio.
CLC Number:
YANG Wei-Guo, LIU Wen. Strong Convergence Theorems for Arbitrary Stochastic Sequence[J].Acta mathematica scientia,Series A, 2003, 23(5): 565-572.
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