English

Measure free martingales

Probability 2007-05-23 v1

Abstract

We give a necessary and sufficient condition on a sequence of functions on a set Ω\Omega under which there is a measure on Ω\Omega which renders the given sequence of functions a martingale. Further such a measure is unique if we impose a natural maximum entropy condition on the conditional probabilities.

Keywords

Cite

@article{arxiv.math/0503099,
  title  = {Measure free martingales},
  author = {Rajeeva L Karandikar and M G Nadkarni},
  journal= {arXiv preprint arXiv:math/0503099},
  year   = {2007}
}

Comments

6 pages