某些随机变量系统的偶然稳定性
Casual Stability of Some Systems of Random Variables
摘要：
系统的自相似性是近几十年来研究的热点和热点领域。所谓的稳定分布及其推广属于这一领域。在Klebanov和Slámová（2014）中，给出了一种方法来定义具有随机自相似性-偶然稳定性（c.s.）性质的可加系统。本文继续研究可加随机变量（r.v.）系统的因果稳定性。我们还给出了一个修改的定义，并将其推广到乘法系统的r.v.和与操作的最小或最大的r.v.的系统的情况下，与一个随机数的元素也被认为是。
英文摘要：
Self-similarity of systems is very popular and intensively developing field during last decades. To this field belong so-called stable distributions and their generalization. In Klebanov and Slámová (2014) there was given an approach to define additive systems with the property of random self-similarity - casual stability (c.s.). Here we continue study the notion of casual stability for additive systems of random variables (r.v.). We also give a modification of this definition and spread them on multiplicative systems of r.v. and on the system with operations of taking minimum or maximum of r.v. The case of systems with a random number of elements is also considered.
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