一般负载共享系统随机性质和参数估计的研究

负载共享系统（load-sharing system）是可靠性理论研究的重点之一。截止目前关于负载共享系统可靠性的研究已有很多，但大多是关于元件的寿命分布是一些特殊分布如指数分布、威布尔分布等，而关于元件寿命是一般分布情形的研究还很薄弱，远不能满足理论和实际需要，此外关于负载共享系统剩余寿命的研究目前还没有。基于此，本项目基于次序顺序统计量的本质特征，借助随机序、参数估计的概念和性质、统计量的渐近分布以及非线性方程的迭代解法，拟研究一般负载共享并联系统、n中取k系统在某些负载共享规则下的可靠性以及相关的序性质、年龄性质和随机比较问题；研究一般负载共享并联系统、n中取k 系统中负载参数及参数的函数的点估计和区间估计、负载共享规则的假设检验以及估计量的渐近分布；研究负载共享系统在一些条件下的剩余寿命及其随机性质。本研究项目将为设计性能更优的负载共享系统提供理论依据和相关技术支持。

Load-sharing system is one of the important reliability theory.There are many researches on load-sharing systems,however they are mainly concentrated on some special distributions of component lifetimes such as Exponential、Weibull and so on.The research on the case of the general distribution of component lifetimes is very weak,and hence can not satisfy the need from theories and practices.Also there is no research about the residual life of load-sharing system. According to this, based on the essence character of sequential order statistics, this item, by the help of stochastic orders、the concept and corresponding properties of parameter estimation、asymptotic distribution of statistcs and some suitable iterative methods of nolinear equations,will study the reliability and some related order properties、aging properties and stochastic comparisons of general load-sharing parallel systems and k-out-of-n system. We will study the point estimation and interval estimation of laod-sharing parameters and parameter function、hypothesis tests of load-sharing rule and the asympotic distribution of the estimation statistics. Also the residual life of load-sharing systems will be investigated. The item will provide theory basis and corresponding technology auspices for designning load-sharing systems with better performance.