摘要
Abstract
In this paper,the fix-time censored test of Weibull distribution is studied and the limit distribution of total test time is obtained.If a parameter is given,the approximate confident interval of the other by using a new method can be got.Suppose that the lifetime X of product is of W(λ,b) distribution,then the data xi with fix-time t０ is censored and Si＝min(xi,ti) is available.As Jacobi's transformation determinant ｜J｜ is not equal to zero,any point (u,v) in the region D has only a corresponding point (λ,b). If λ is given,the parameter curves u=u(b),v=v(b) have two points of intersection with the margin curve of region D. Solving the following equation:(1＋β２）u２（b)-2*u(b)-2β２v(b)＋２＝0,two roots,i.e.,b1(λ） and b２（λ) can be got. When the confidence level is 1-α,the approximate confidence interval of λ is b1（λ）≤b≤b２（λ).关键词
可靠性,威布尔分布,渐近正态分布,近似置信区间/定时截尾试验分类
数理科学
