Some results on the mean residual waiting time of records |
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| Authors: | Mohammad Z Raqab Majid Asadi |
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| Institution: | 1. Department of Mathematics , University of Jordan , Amman, 11942, Jordan mraqab@ju.edu.jo;3. Department of Statistics , University of Isfahan , Isfahan, 81744, Iran |
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| Abstract: | Often, in reliability theory, risk analysis, renewal processes and actuarial studies, mean residual life function or life expectancy plays an important role in studying the conditional tail measure of lifetime data. In this paper, we introduce the notion of the mean residual waiting time of records and present some monotonic and aging properties. Sharp bounds for the mean residual waiting time of records are also investigated. |
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| Keywords: | record statistics hazard rate mean residual life function bounds |
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