Stress-strength reliability for doubly truncated random variables

Deepa K.R. and Angel Mathew

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 16, 5146-5163

Abstract: In the context of reliability and survival analysis, the observed lifetimes are often subject to left, right, or double truncation. Doubly truncated data usually arises when information about the lifetime of a system is available only within a particular time interval. In this paper, we consider the stress-strength reliability measure for the doubly truncated data. Several properties of this measure, including bounds and the effect of monotonic transformations, are discussed. Further, we propose a nonparametric estimator for doubly truncated stress-strength reliability, and its asymptotic properties are studied. A simulation study is also carried out to evaluate the performance of the asymptotic confidence interval and the percentile bootstrap interval for doubly truncated stress-strength reliability. Finally, the proposed estimation procedure is applied to a real data set for illustration.

Date: 2025
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DOI: 10.1080/03610926.2024.2434563

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