G-casual Stable Probability Distributions

Lev B. Klebanov

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arXiv · 1506.02198

G-casual Stable Probability Distributions

Lev B. Klebanov

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Abstract

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

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Lev B. Klebanov. 2015-06-06. G-casual Stable Probability Distributions. https://arxiv.org/abs/1506.02198

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