Frequency: Continuous
ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Inequalities Associated to a Sequence of Dyadic Martingales

Santosh Ghimire1
  • 1 Tribhuvan University, Nepal
Journal of Mathematics and Statistics
Volume 16 No. 1, 2020, 233-238

DOI: https://doi.org/10.3844/jmssp.2020.233.238

Submitted On: 3 September 2020 Published On: 23 December 2020

How to Cite: Ghimire, S. (2020). Inequalities Associated to a Sequence of Dyadic Martingales. Journal of Mathematics and Statistics, 16(1), 233-238. https://doi.org/10.3844/jmssp.2020.233.238

Copyright: © 2021 Santosh Ghimire. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

In this article, we establish some inequalities associated to a sequence of dyadic martingales. These inequalities are sub-Gaussian type estimates. We derive the inequalities for a regular sequence of dyadic martingales and also for a tail sequence.

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Keywords

  • Dyadic Martingales
  • Square Function
  • Tail Square Function