English

A family of martingales generated by a process with independent increments

Probability 2007-11-20 v1

Abstract

An explicit procedure to construct a family of martingales generated by a process with independent increments is presented. The main tools are the polynomials that give the relationship between the moments and cumulants, and a set of martingales related to the jumps of the process called Teugels martingales

Keywords

Cite

@article{arxiv.0711.2879,
  title  = {A family of martingales generated by a process with independent increments},
  author = {Josep Lluís Solé and Frederic Utzet},
  journal= {arXiv preprint arXiv:0711.2879},
  year   = {2007}
}