Small deviations of the maximal element of a sequence of independent variables with smooth weights

被引：0
作者：
Rozovsky L.V. [1 ]
机构：
[1] St. Petersburg Chemical Pharmaceutical Academy, St. Petersburg
来源：
Journal of Mathematical Sciences | 2010年 / 167卷 / 4期
关键词：
Russia; Small Deviation; Maximal Element; Chemical Pharmaceutical; Nonnegative Random Variable;
D O I：
10.1007/s10958-010-9942-9
中图分类号：
学科分类号：
摘要：
We study logarithmic small deviations of, where {Xj} are i. i. d. nonnegative random variables and {λj} is a sequence of positive nonincreasing numbers that satisfies certain conditions of regularity. Bibliography: 3 titles. © 2010 Springer Science+Business Media, Inc.
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页码：543 / 549
页数：6
相关论文
共 3 条
  • [1] Aurzada F., On the lower tail probabilities of some random sequence in l<sub>p</sub>, J. Theor. Probab., 20, pp. 843-858, (2007)
  • [2] Aurzada F., A short note on small deviations of sequence of i.i.d. random variables with exponentially decreasing weights, Statistics and Probability Letters, 78, pp. 2300-2307, (2008)
  • [3] Rozovsky L.V., Small deviations of series of weighted i.i.d. non-negative random variables with a positive mass at the origin, Statistics and Probability Letters, 79, pp. 1495-1500, (2009)
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