On the law of terminal value of additive martingales in a remarkable branching stable process

@article{Yang2022OnTL,
  title={On the law of terminal value of additive martingales in a remarkable branching stable process},
  author={Hairuo Yang},
  journal={Stochastic Processes and their Applications},
  year={2022}
}
  • Hairuo Yang
  • Published 23 September 2022
  • Mathematics
  • Stochastic Processes and their Applications
View PDF on arXiv

References

SHOWING 1-10 OF 22 REFERENCES

Uniform Convergence of Martingales in the Branching Random Walk

Lévy Processes and Infinitely Divisible Distributions

Asymptotic properties and absolute continuity of laws stable by random weighted mean

Fixed points of a generalized smoothing transformation and applications to the branching random walk

Let {A i : i ≥ 1} be a sequence of non-negative random variables and let M be the class of all probability measures on [0,∞]. Define a transformation T on M by letting Tμ be the distribution of ∑ i=1…

Branching-stable point measures and processes

Abstract We introduce and study the class of branching-stable point measures, which can be seen as an analog of stable random variables when the branching mechanism for point measures replaces the…

Π-regular variation

On generalized multiplicative cascades

On tails of fixed points of the smoothing transform in the boundary case

Self-Decomposable Laws from Continuous Branching Processes

  • A. Pakes
  • Mathematics
    Journal of Theoretical Probability
  • 2019
The martingale limit law of the supercritical continuous time and state branching process either is compound Poisson or self-decomposable. This paper explores some general aspects of the latter case.…

Stochastic Models with Power-Law Tails