基于Copula函数的相依部件表决系统的可靠性研究

摘要

In reliability theory, the independence is a particular state of the dependence. Reliability mathematics carries through the reliability researches of system that almost suppose that the parts are in the condition of inter-independence. This paper is based on the knowledge of the Copula function to study the reliability of vote system that consists of dependence parts and the relation between the system and copula and to show that how the dependence of parts made the reliability measure of the system.%在可靠性理论中,部件相互独立是相依的特殊情况.可靠性数学研究系统的可靠性时,都是在假设部件之间相互独立的条件下进行的.本文应用Copula函数研究部件相依时表决系统的可靠性,分析系统的可靠度与Copula函数间的关系,揭示部件相依关系对表决系统可靠度的影响规律.