定时截尾寿命的平均寿命比估计研究

Estimation of the Mean Life Ratio under Type-I Life Test

School of Science, Shanxi University of Science and Technology, School of Mathematical Sciences, Xuzhou Normal University

摘要: 本文讨论了相互独立且寿命服从单参数指数分布的两产品在定时截尾寿命试验中的平均寿命比估计, 并给出了该估计量的渐近正态性和置信区间. 如果某一种(或某一类)产品与另一种(或某一类)产品平均寿命比率显著大于1, 那么该种产品就具有耐用优势, 这在投资决策中有重大意义. 通过数值模拟还进一步验证了该比估计量和估计方法的有效性.

Abstract: In this paper, we studied the mean life ratio estimate between two populations, independently following one parameter exponential distribution in a type-I censoring life test. Under some conditions, we showed that the ratio estimate is asymptotically normally distributed. Based on the asymptotic normality, we also established its confidence interval. By a simulation study, we illustrated the validation of the ratio estimate.