On the upper limit of a random sequence and the law of the iterated logarithm

被引：0
作者：
Petrov V.V. [1 ]
机构：
[1] St. Petersburg University, St. Petersburg
来源：
Ukrainian Mathematical Journal | 2000年 / 52卷 / 9期
关键词：
Random Sequence; Independent Random Variable; Iterate Logarithm;
D O I：
10.1023/A:1010336304178
中图分类号：
学科分类号：
摘要：
We obtain some results concerning the upper limit of a random sequence and the law of the iterated logarithm for sums of independent random variables. © 2000 Plenum Publishing Corporation.
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页码：1453 / 1456
页数：3
相关论文
共 5 条
  • [1] Petrov V.V., Some estimates for sums of dependent random variables that are satisfied almost surely, Zap. Nauchn. Semin. Leningrad. Otdelen. Mat. Inst. Akad. Nauk SSSR, 55, pp. 113-116, (1976)
  • [2] Petrov V.V., On the law of the iterated logarithm for sequences of dependent random variables, Zap. Nauchn. Semin. Leningrad. Otdelen. Mat. Inst. Akad. NaukSSSR, 97, pp. 186-194, (1980)
  • [3] Petrov V.V., On the relationship between the estimate of the residual term in the central limit theorem and the law of the iterated logarithm, Tear. Ver. Primen., 11, 3, pp. 514-518, (1966)
  • [4] Petrov V.V., One theorem on the law of the iterated logarithm, Tear. Ver. Primen., 16, 4, pp. 715-718, (1971)
  • [5] Petrov V.V., Limit Theorems of Probability Theory, (1995)
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