Weibull分布CE模型序进试验下逐次截尾的统计分析——应力为时间的一般线性关系

针对累积损伤模型，在序进应力下给出了逐次截尾试验下两参数Weibull分布在阿伦尼斯方程下和逆幂律方程下的极大似然估计．通过Monte-Carlo模拟考察了参数估计的精度，结果表明随着样本的增大，估计的精度逐渐提高．同时，在总样本量相同的条件下，截尾样本个数较小时，估计的精度有所提高．

Statistical analysis of weibull distribution progressively censored for cumulative exposure model under a progressive stress with a linear relation between the stress and time

The maximum likelihood estimation of the two-parameter Weibull distribution is derived based on progressively censored data for cumulative exposure model under a progressive-stress.The accuracy of the parameter estimate is tested,and by Monte-Carlo simulation the results show that the accuracy of the estimate is improved with larger sample numbers.Meanwhile,with the same sample number,the results are more accurate with lesser censored samples.