English

A note on a composition of two random integral mappings $\J^\be$ and some examples

Probability 2022-08-02 v1

Abstract

A method of random integral representation, that is, a method of representing a given probability measure as the probability distribution of some random integral, was quite successful in the past few decades. In this note we show that a composition of two random integral mappings \J\be\J^\be is again a random integral mapping. We illustrate our results on some examples.

Cite

@article{arxiv.0811.3750,
  title  = {A note on a composition of two random integral mappings $\J^\be$ and some examples},
  author = {Agnieszka Czyzewska-Jankowska and Zbigniew J. Jurek},
  journal= {arXiv preprint arXiv:0811.3750},
  year   = {2022}
}

Comments

11 pages

R2 v1 2026-06-21T11:44:27.132Z