English

Pathwise construction of affine processes

Probability 2014-12-30 v1

Abstract

Based on the theory of multivariate time changes for Markov processes, we show how to identify affine processes as solutions of certain time change equations. The result is a strong version of a theorem presented by J. Kallsen (2006) which provides a representation in law of an affine process as a time-change transformation of a family of independent L\'evy processes.

Keywords

Cite

@article{arxiv.1412.7837,
  title  = {Pathwise construction of affine processes},
  author = {Nicoletta Gabrielli and Josef Teichmann},
  journal= {arXiv preprint arXiv:1412.7837},
  year   = {2014}
}

Comments

26 pages

R2 v1 2026-06-22T07:43:52.605Z