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Article | REF: TE5222 V1

Random Processes - Basis and applications

Author: Michel PRENAT

Publication date: December 10, 2020

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7. Reliability and maintenance

Random processes are "ubiquitous" in this field, to model the process of failure or breakdown in a component or complex system, as well as the evolution over time of the system's state.

7.1 Reliability function

For a given component, if its operation starts at time t = 0, we define its lifetime τ as the first time it fails or, what amounts to the same thing, the time during which it has functioned correctly, τ is a random variable and we define the (non-decreasing) function Q (t)=ℙ (τ<t)...

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