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Minimal elements of stopping time $\sigma$-algebras

Probability 2015-01-30 v3

Abstract

We show how minimal elements of a stopping time σ\sigma-algebra can be expressed in terms of the minimal elements of the σ\sigma-algebra of the underlying filtration. This facilitates an intuitive interpretation of stopping time σ\sigma-algebras. An example is provided.

Keywords

Cite

@article{arxiv.1112.2537,
  title  = {Minimal elements of stopping time $\sigma$-algebras},
  author = {Tom Fischer},
  journal= {arXiv preprint arXiv:1112.2537},
  year   = {2015}
}