96
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

On exact strong laws of large numbers for ratios of random variables and their applications

, &
Pages 3153-3167 | Received 25 May 2018, Accepted 20 Feb 2019, Published online: 25 Mar 2019

References

  • Adler, A. 2000. Exact strong laws. Bulletin of the Institute of Mathematics Academia Sinica 28:141–66.
  • Adler, A. 2006. Exact laws for sums of ratios of order statistics from the Pareto distribution. Central European Journal of Mathematics 4 (1):1–4. doi:10.1007/s11533-005-0001-6.
  • Adler, A. 2015a. Laws of large numbers for ratios of uniform random variables. Open Math 13:571–6.
  • Adler, A. 2015b. Strong laws for ratios of order statistics from exponentials. Bulletin of the Institute of Mathematics Academia Sinica 10 (1):101–11.
  • Adler, A. 2017. Strong laws for the largest ratio of adjacent order statistics. Bulletin of the Institute of Mathematics Academia Sinica 12 (4):315–23.
  • Adler, A., and P. Matuła. 2018. On exact strong laws of large numbers under general dependence conditions. Probability and Mathematical Statistics 38 (1):103–21.
  • Chow, Y., and H. Robbins. 1961. On sums of independent random variables with infinite moments and “FAIR GAMES”. Proceedings of the National Academy of Sciences of the United States of America 47 (3):330–5.
  • Miao, Y., Y. Sun, R. Wang, and M. Dong. 2016. Various limit theorems for ratios from the uniform distribution. Open Math 14:393–403.
  • Miao, Y., R. Wang, and A. Adler. 2016. Limit theorems for order statistics from exponentials. Statistics & Probability Letters 110:51–7. doi:10.1016/j.spl.2015.12.001.
  • Remmert, R. 1998. Classical topics in complex functions theory. New York: Springer.
  • Xu, S.-F., and Y. Miao. 2017. Some limit theorems for ratios of order statistics from uniform random variables. Journal of Inequalities and Applications 2017 (1):295–18. doi:10.1186/s13660-017-1569-7.
  • Zhang, Y., and X. Ding. 2017. Limit properties for ratios of order statistics from exponentials. Journal of Inequalities and Applications 2017 (1):11–8. doi:10.1186/s13660-016-1287-6.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.