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System signature is a practical and technical tool to characterizing reliability in systems created in 1985 by Francisco Samaniego and since has developed into a powerfull tool for qualifying reliability. Actually the advances are stronger and consistent in the reliability area and the perspective of open problems and continuity are up to date. However, the classical approach is under independence and identically distributed lifetimes that leads to underestimating critical events with negative consequences. The extension to time dynamics and random dependence are conduced in this monograph, viewed as a new representation of a structural reliability system through a marked point process. With this new approach we analyse several properties of classical reliability theory such as redundancy allocation, reliability importance of component for system reliability, non-parametric distribution classes, maintenance policy.
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