The Law of the Iterated Logarithm of Random Weighting Approximation for Mean Error-Non.I.I.D.Situation

Wang Bingzhang; Peng Jianping

Volume 17 Issue 8

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Abstract

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(8): 699-707

Wang Bingzhang, Peng Jianping. The Law of the Iterated Logarithm of Random Weighting Approximation for Mean Error-Non.I.I.D.Situation[J]. Applied Mathematics and Mechanics, 1996, 17(8): 699-707.

Citation:

Wang Bingzhang, Peng Jianping. The Law of the Iterated Logarithm of Random Weighting Approximation for Mean Error-Non.I.I.D.Situation[J]. Applied Mathematics and Mechanics, 1996, 17(8): 699-707.

Citation:

Wang Bingzhang, Peng Jianping. The Law of the Iterated Logarithm of Random Weighting Approximation for Mean Error-Non.I.I.D.Situation[J]. Applied Mathematics and Mechanics, 1996, 17(8): 699-707.

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The Law of the Iterated Logarithm of Random Weighting Approximation for Mean Error-Non.I.I.D.Situation

Yantai University, Yantai 264005, P. R. China

Received Date: 1995-03-06
Rev Recd Date: 1996-01-11
Publish Date: 1996-08-15

Abstract

Abstract

For the dislribulion if mean error under independent but not identically dislribuled conditions,its approximating dislribution whose precision reach O(√lnlnn/n) is obtained.
- mean error,
- random weight,
- approximation

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References(5)

References

[1]	徐冬生、郑忠国,随机加权法的渐近展开,应用概率统计,3,4(1987),340-347.
[2]	白志东、赵林诚,独立随机变量之和的分布函数的渐近展开,中国科学(A辑),8(1985).
[3]	V.V.Petrov,Sums of Independent Random Variables,Springer-Verlag(1975).
[4]	姚泽清,一类有渐近展开的分布的独立和逼近,系统科学与数学,8,2(1988),113-126.
[5]	R.Wittmann,A general law of iterated logarithm,Z.Wahr.Verw.Geb.,68(1985),521-543.

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