English

Arithmetic of (independent) sigma-fields on probability spaces

Probability 2019-12-23 v2

Abstract

This note gathers what is known about, and provides some new results concerning the operations of intersection, of ``generated σ\sigma-field'', and of ``complementation'' for (independent) complete σ\sigma-fields on probability spaces.

Keywords

Cite

@article{arxiv.1809.05543,
  title  = {Arithmetic of (independent) sigma-fields on probability spaces},
  author = {Matija Vidmar},
  journal= {arXiv preprint arXiv:1809.05543},
  year   = {2019}
}

Comments

Published at https://doi.org/10.15559/19-VMSTA135 in the Modern Stochastics: Theory and Applications (https://vmsta.org/) by VTeX (http://www.vtex.lt/)

R2 v1 2026-06-23T04:06:56.784Z