Liu Lihua, Li Jianbo, . Estimation of the Mean Life Ratio under Type-I Life Test[J]. Chinese Journal of Applied Probability and Statistics, 2012, 28(1): 87-92.
Citation:
Liu Lihua, Li Jianbo, . Estimation of the Mean Life Ratio under Type-I Life Test[J]. Chinese Journal of Applied Probability and Statistics, 2012, 28(1): 87-92.
Liu Lihua, Li Jianbo, . Estimation of the Mean Life Ratio under Type-I Life Test[J]. Chinese Journal of Applied Probability and Statistics, 2012, 28(1): 87-92.
Citation:
Liu Lihua, Li Jianbo, . Estimation of the Mean Life Ratio under Type-I Life Test[J]. Chinese Journal of Applied Probability and Statistics, 2012, 28(1): 87-92.
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.