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指数——威布尔寿命分布转折点估计的探讨
引用本文:翁莉娟.指数——威布尔寿命分布转折点估计的探讨[J].北京工商大学学报(自然科学版),1991(2).
作者姓名:翁莉娟
作者单位:北京轻工业学院数学教研室
摘    要:一个复杂的机械系统,在运行一定时间后进入磨损状态,使失效率增大.为此,考虑系统的寿命分布有两个状态,导出指数——威布尔磨损寿命分布.本文讨论了分布的性质,并推导出一种Bayes自适应方法来估计转折点,给出了递推公式以确定发生转折后的后验概率及其Bayes估计量.

关 键 词:失效率  磨损变换估计  Bayes估计量

DISSCUSSION ON ESTIMATING CHANGE POINT OF THE EXPONENTIAL——WEIBULL LIFE DISTRIBUTION
Weng Lijuan Beijing Institute of Light Industry.DISSCUSSION ON ESTIMATING CHANGE POINT OF THE EXPONENTIAL——WEIBULL LIFE DISTRIBUTION[J].Journal of Beijing Technology and Business University:Natural Science Edition,1991(2).
Authors:Weng Lijuan Beijing Institute of Light Industry
Institution:Weng Lijuan Beijing Institute of Light Industry
Abstract:A complex mechanical system has a higher failure rate in wear-out phase after operating for a certain time. Based on this practical consideration, an exponential-weibull type life distribu distribution with two phases are considered. Phase I with a constant failure rate is called stable phase, phase Ⅱ is called wear-out phase with increasing failure rate comparing to phase I. The epoch from phase Ⅰ to phase Ⅱ is called change point. Based on the exponential——weibull Life distribution, a Bayes autoadaptive method for estimating change point is suggested.
Keywords:failure rate  Bayes estimator  estimating the shift to wear-out
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