带有移走随机的加速寿命试验数学模型
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摘要
研究了带有随机移走的加速寿命试验的数学模型.在试验中,假设产品的寿命服从指数分布,随机移走的产品个数服从离散均匀分布,采用定时截尾和间隔观测的方式进行试验.选取2个加速应力水平(高应力水平和低应力水平)建立统计模型,通过极大似然估计方法,给出不同的参数组合下加速寿命试验的优化设计.
Studies the mathematical model of accelerated life tests with random removals.In the experiment, assumes that the life time of products is exponentially distributed,the number of random removals follows a discrete uniform distribution.The experiment is conducted by means of timing truncation and interval observation. Two accelerating stress levels(high stress level and low stress level)are selected,establishs statistical model.The optimum design of accelerated life tests under different combinations of parameters is given by maximum likelihood estimation method.
Studies the mathematical model of accelerated life tests with random removals.In the experiment, assumes that the life time of products is exponentially distributed,the number of random removals follows a discrete uniform distribution.The experiment is conducted by means of timing truncation and interval observation. Two accelerating stress levels(high stress level and low stress level)are selected,establishs statistical model.The optimum design of accelerated life tests under different combinations of parameters is given by maximum likelihood estimation method.
引文
[1]Ding C,Yang C Y,Tse S K.Accepted life tests sampling plans for the Weibull distribution under Type I progressive interval censoring with random removals[J].Journal of Statistical Computation and Simulation,2010,80(8):903-914
[2]Shen K F,Shen Y J,Liu L Y.Design of optimal step-stress accelerated life tests under progressive Type I censoring with random removals[J].Quality and Quantity,2011,45(3):587-597
[3]Wu S J,Lin Y P,Chen Y J.Planning step-stress life test with progressively Type I group-censored exponential data[J].2006,49(1):46-56
[4]Tse S K,Ding C,Yang C Y.Optimal accelerated life tests under interval censoring with random removals:The case of Weibull failure distribution[J].Statistics,2008,42(5):435-451
[5]邓集贤,杨维权,司徒荣,等.概率论与数理统计[M].北京:高等教育出版社,2009:10-49
[6]Lawless J F.寿命数据中的统计模型与方法[M].北京:中国统计出版社,1996:101-121
[7]茆师松,王静龙,濮晓龙.高等数理统计[M].北京:高等教育出版社,2006:115-119
[8]韦博成.参数统计教程[M].北京:高等教育出版社,2006:68-70
[9]樊爱霞,杨春燕.对数正态分布恒加速寿命试验在带有随机移走的Type I模型下的优化设计[J].云南大学学报:自然科学版,2009,31(5):444-448
[2]Shen K F,Shen Y J,Liu L Y.Design of optimal step-stress accelerated life tests under progressive Type I censoring with random removals[J].Quality and Quantity,2011,45(3):587-597
[3]Wu S J,Lin Y P,Chen Y J.Planning step-stress life test with progressively Type I group-censored exponential data[J].2006,49(1):46-56
[4]Tse S K,Ding C,Yang C Y.Optimal accelerated life tests under interval censoring with random removals:The case of Weibull failure distribution[J].Statistics,2008,42(5):435-451
[5]邓集贤,杨维权,司徒荣,等.概率论与数理统计[M].北京:高等教育出版社,2009:10-49
[6]Lawless J F.寿命数据中的统计模型与方法[M].北京:中国统计出版社,1996:101-121
[7]茆师松,王静龙,濮晓龙.高等数理统计[M].北京:高等教育出版社,2006:115-119
[8]韦博成.参数统计教程[M].北京:高等教育出版社,2006:68-70
[9]樊爱霞,杨春燕.对数正态分布恒加速寿命试验在带有随机移走的Type I模型下的优化设计[J].云南大学学报:自然科学版,2009,31(5):444-448