A short note on small deviations of sequences of i.i.d. random variables with exponentially decreasing weights-Reference-Cited by-同舟云学术

A short note on small deviations of sequences of i.i.d. random variables with exponentially decreasing weights

Published:2008-10 Issue:15 Volume:78 Page:2300-2307
ISSN:0167-7152
Container-title:Statistics & Probability Letters
language:en
Short-container-title:Statistics & Probability Letters

Author:

Aurzada Frank

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference17 articles.

1. Aurzada, F., 2006. Small deviations of some stochastic processes. Ph. D. Thesis, Friedrich-Schiller-Universität Jena. Available from: http://www.db-thueringen.de/servlets/DerivateServlet/Derivate-10429/Aurzada/Dissertation.pdf

2. On the lower tail probabilities of some random sequences in lp;Aurzada;J. Theoret. Probab.,2007

3. Regular variation;Bingham,1989

4. Borovkov, A.A., Ruzankin, P.S., 2008a. On small deviations of series of weighted random variables, J. Theoret. Probab. Available from http://dx.doi.org/10.1007/s10959-007-0130-x (in press-a)

5. Borovkov, A.A., Ruzankin, P.S., 2008b. On small deviations of independent positive random variables with weights close to exponential, Siberian Adv. Math. (in press-b)

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Heavy subtrees of Galton-Watson trees with an application to Apollonian networks;Electronic Journal of Probability;2019-01-01

2. Small Deviation Probabilities for Weighted Sum of Independent Random Variables with a Common Distribution Having a Power Decrease at Zero, under Minimal Moment Assumptions;Theory of Probability & Its Applications;2018-01

3. Small deviation probabilities for weighted sum of independent random variables with a common distribution that can decrease at zero fast enough;Statistics & Probability Letters;2016-10

4. Probabilities of Small Deviations of the Weighted Sum of Independent Random Variables with Common Distribution That Decreases at Zero Not Faster Than a Power;Journal of Mathematical Sciences;2016-03-14

5. Small Deviations of Series of Independent Nonnegative Random Variables with Smooth Weights;Theory of Probability & Its Applications;2014-01