引入位置参数的三参数Weibull过程及 其点估计方法

为解决Weibull过程在零时刻时强度函数值为零或无穷、工程上拟合不好的问题,引入位置参数对Weibull过程进行了修正.综合运用迭代拟合法、相关系数法以及极大似然法,给出了三参数Weibull过程强度参数、形状参数以及位置参数的点估计方法.并给出了有关可靠性特征量的估计.实例验证表明了该方法能够满足工程上可修系统用Weibull过程进行拟合的需求.

Three-parameter Weibull process of using position element and point estimation

In the Weibull process, the peril rate is zero or infinite when time equals zero. In order to solve this problem of fitting in the engineering, the position element was put forward to revise the Weibull process. Iterative fitting, correlation coefficients method and maximum likelihood method were integrated to obtain the estimations of the scale, shape and position elements in the Weibull process. And meanwhile, some relative reliable characteristics were also estimated. An application example shows the estimations of these parameters can satisfied the requirements by using of this method, when repairable system is fitted by three-parameter Weibull process in the engineering.