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IEVref: | 192-05-08 | ID: | |

Language: | en | Status: Standard | |

Term: | instantaneous failure intensity | ||

Synonym1: | failure intensity [Preferred] | ||

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Synonym3: | |||

Symbol: | z(t)
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Definition: | limit, if it exists, of the quotient of the mean number of failures of a repairable item within time interval (t, t + Δt), by Δt, when Δt tends to zero $z(t)=\underset{\text{\Delta}t\to 0+}{\text{lim}}\frac{E[N(t+\text{\Delta}t)-N(t)]}{\text{\Delta}t}$ where Note 1 to entry: Other terms used for failure intensity are “rate of occurrence of failures”, and “failure frequency”. | ||

Publication date: | 2015-02 | ||

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Domain5: |

$z(t)=\underset{\text{\Delta}t\to 0+}{\text{lim}}\frac{E[N(t+\text{\Delta}t)-N(t)]}{\text{\Delta}t}$

where *N*(*t*) is the number of failures in the time interval (0, *t*), where *E* denotes the expectation.

Note 1 to entry: Other terms used for failure intensity are “rate of occurrence of failures”, and “failure frequency”.