The associated random walk and martingales in random walks with stationary increments
Probability
2010-06-24 v1
Abstract
We extend the notion of the associated random walk and the Wald martingale in random walks where the increments are independent and identically distributed to the more general case of stationary ergodic increments. Examples are given where the increments are Markovian or Gaussian, and an application in queueing is considered.
Keywords
Cite
@article{arxiv.1006.4465,
title = {The associated random walk and martingales in random walks with stationary increments},
author = {D. R. Grey},
journal= {arXiv preprint arXiv:1006.4465},
year = {2010}
}
Comments
13 pages. To appear in Bingham, N. H., and Goldie, C. M. (eds), Probability and Mathematical Genetics: Papers in Honour of Sir John Kingman. London Math. Soc. Lecture Note Series vol. 378. Cambridge: Cambridge Univ. Press