English

Granger causality on horizontal sum of Boolean algebras

Econometrics 2018-10-04 v1

Abstract

The intention of this paper is to discuss the mathematical model of causality introduced by C.W.J. Granger in 1969. The Granger's model of causality has become well-known and often used in various econometric models describing causal systems, e.g., between commodity prices and exchange rates. Our paper presents a new mathematical model of causality between two measured objects. We have slightly modified the well-known Kolmogorovian probability model. In particular, we use the horizontal sum of set σ\sigma-algebras instead of their direct product.

Cite

@article{arxiv.1810.01654,
  title  = {Granger causality on horizontal sum of Boolean algebras},
  author = {M. Bohdalová and M. Kalina and O. Nánásiová},
  journal= {arXiv preprint arXiv:1810.01654},
  year   = {2018}
}

Comments

14 pages, 2 figures

R2 v1 2026-06-23T04:26:57.485Z