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This study is concerned with estimating the reliability of residual lifetime random variable. A nonparametric estimator for the ratio of reliability of two independent residual lifetime random variables is derived and its asymptotic distribution is established. Then, the asymptotic confidence interval and the corresponding hypothesis testing procedure is obtained. Finally, the applicability of the proposed method is investigated through simulation and an example of real data.


Nonparametric estimation Residual lifetime Conditional Reliability Maximum likelihood Estimator Asymptotic properties

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How to Cite
Mohammadi, Z. (2021). On nonparametric estimation of the ratio of two reliability function. Pakistan Journal of Statistics and Operation Research, 17(1), 265-272. Retrieved from