Stochastic Orderings and Ageing Properties of Residual Life Lengths of Live Components in (<i>n</i>-<i>k</i>+1)-Out-Of-<i>n</i> Systems
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Bibliographic record
Abstract
Suppose that a system consists of n independent and identically distributed components and that the life lengths of the n components are X i , i = 1, …, n . For k ∈ {1, …, n - 1}, let X ( k ) 1 , …, X ( k ) n - k be the residual life lengths of the live components following the k th failure in the system. In this paper we extend various stochastic ordering results presented in Bairamov and Arnold (2008) on the residual life lengths of the live components in an ( n - k + 1)-out-of- n system, and also present a new result concerning the multivariate stochastic ordering of live components in the two-sample situation. Finally, we also characterize exponential distributions under a weaker condition than those introduced in Bairamov and Arnold (2008) and show that some special ageing properties of the original residual life lengths get preserved by residual life lengths.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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