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指数分布场合基于逐次定数截尾步加寿命试验数据的统计分析

Statistical Analysis for the Exponential Distribution Based on Progressively Type II Censored Accelerated Life Test Data

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【作者】 王炳兴

【Author】 WANG Bing-xing(Department of Statistics,Zhejing Gongshang University,Hangzhou 310035,China)

【机构】 浙江工商大学统计学院 浙江杭州310035

【摘要】 导出了指数分布场合基于逐次定数截尾步加寿命试验数据的最大似然估计和最好线性无偏估计.利用最大似然估计的渐近正态性导出了正常应力水平下平均寿命和失效率的近似无偏估计,利用最好线性无偏估计导出了正常应力水平下平均寿命和失效率的无偏估计.利用模拟方法研究了所给方法的精度.

【Abstract】 The maximum likelihood estimations and the best linear unbiased estimations of the exponential distribution based on progressively type Ⅱ censored step-stress accelerated life test data are obtained.Using asymptotic normality of the maximum likelihood estimation,the approximately unbiased estimations of the mean and the failure rate at normal stress level are derived.The unbiased estimations of the mean and the failure rate at normal stress level are derived according to the best linear unbiased estimations of parameters in accelerated life equation.The precision of the maximum likelihood estimations,the approximately unbiased estimations and the unbiased estimations of the mean and the failure rate at normal stress level are compared by Monte Carlo method.

  • 【文献出处】 系统工程理论与实践 ,Systems Engineering-theory & Practice , 编辑部邮箱 ,2005年11期
  • 【分类号】O212.6
  • 【被引频次】5
  • 【下载频次】221
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