An alternative simple proof of a result useful in reliability shock models. (English) Zbl 1118.62110
Summary: We present a simple proof of a result, which has useful applications in the context of shock models that are important in reliability theory. Though the result can be easily proved using properties of totally positive functions, we introduce a new idea which enables us to provide a proof that utilizes only elementary techniques of real variable calculus.
MSC:
| 62N05 | Reliability and life testing |
| 40A05 | Convergence and divergence of series and sequences |
| 62M99 | Inference from stochastic processes |
| 90B25 | Reliability, availability, maintenance, inspection in operations research |
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| [2] | Guess F., Annals of Statistics 14 pp 1388– (1986) · Zbl 0613.62122 · doi:10.1214/aos/1176350165 |
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