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Asymptotic Property for Some Series of Probability

Asymptotic Property for Some Series of Probability
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摘要 Abstract Let {X, Xn, n ≥ 1} be a sequence of i.i.d.random variables with zero mean, and set Sn = n∑k=1Xk, EX2 = σ2 〉 0, λ(ε) = ∞∑n=1P(1Sn1 ≥ ns). In this paper, we discuss the rate of the approximation of σ2 by ε2= λ(s) under suitable conditions, and improve the corresponding results of Klesov (1994). Abstract Let {X, Xn, n ≥ 1} be a sequence of i.i.d.random variables with zero mean, and set Sn = n∑k=1Xk, EX2 = σ2 〉 0, λ(ε) = ∞∑n=1P(1Sn1 ≥ ns). In this paper, we discuss the rate of the approximation of σ2 by ε2= λ(s) under suitable conditions, and improve the corresponding results of Klesov (1994).
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2013年第1期179-186,共8页 应用数学学报(英文版)
关键词 asymptotic property the rate of approximation complete convergence asymptotic property, the rate of approximation, complete convergence
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