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G-casual Stable Probability Distributions

Probability 2015-06-09 v1

Abstract

A generalization of stable and casual stable probability distribution is proposed. The notion of \goG\go G-casual stability can be used to introduce discrete analogues of stable distributions on the sent Z\mathbb Z of integers. In contrary to limit definition of stable distributions on Z\mathbb Z our has algebraic character. Examples of corresponding limit theorems are given. Keywords: stable distributions; casual stable distribution; discrete stable distributions; limit theorems

Keywords

Cite

@article{arxiv.1506.02198,
  title  = {G-casual Stable Probability Distributions},
  author = {Lev B. Klebanov},
  journal= {arXiv preprint arXiv:1506.02198},
  year   = {2015}
}
R2 v1 2026-06-22T09:48:34.518Z