Discrete Stable and Casual Stable Random Variables

TL;DR

This paper introduces new classes of discrete stable and casual stable random variables, providing examples and proposing their application in rating scientific work, thereby expanding the understanding of stability in discrete probability models.

Contribution

The paper presents novel classes of discrete and casual stable random variables and explores their potential application in scientific rating systems.

Findings

Introduction of new discrete stable random variables

Examples illustrating casual and discrete stability

Application proposal for scientific work rating

Abstract

Here we introduce some new classes of discrete stable random variables, which are useful for understanding of a new general notion of stability of random variables called us as casual stability. There are given some examples of casual and discrete stable random variables. We also propose a class of discrete stable random variables for a description of rating of scientific work.