# Failure Rate

(redirected from Hazard function)
Also found in: Dictionary, Thesaurus, Medical, Legal, Acronyms.

## failure rate

[′fāl·yər ‚rāt]
(engineering)
The probability of failure per unit of time of items in operation; sometimes estimated as a ratio of the number of failures to the accumulated operating time for the items.

## Failure Rate

the index of dependability of a device that is not subject to repair. Most often it is used to define the dependability of the subassemblies of electronic and automatic systems. In numerical terms the failure rate is equal to the failure probability of the device during a time period beginning at a certain moment provided that no failure has occurred before.

## Failure Rate

an index of the reliability of repairable tools and machines. The failure rate is defined as the average number of failures of the repairable device per unit of time and varies with time.

References in periodicals archive ?
Figure 2 shows the fit of the regression model to the hazard function.
The anticipated inverse relationship between asset size and the hazard of disappearance is evident in both of the hazard function estimations, indicating that a smaller credit union was at significantly greater risk of disappearance through either acquisition or failure than a larger one.
It can be seen from Figure 2 that there is a factor of about four in the hazard range for the blue hazard function over the wide range of color temperatures of the light sources shown, while for the lipofuscin function this range is reduced to about a factor of 2.
To model the hazard functions for graduation after a given year in high school controlling for the effect of disability, I fitted a series of discrete-time hazard models (Singer & Willett, 2003).
13) The model is semi-parametric in the sense that the vector [beta] can be estimated without imposing any assumption on the baseline hazard function.
Our specification follows Cox (1972); who assumes that hazard function has a multiplicative form: h(t[x.
or the product of an unspecified baseline hazard function [[lambda].
If we define the hazard function as h(t, x, [beta]) [equivalent to] f(t, x, [beta])/S(t, x, [beta]), where S is the survivor function S(t, x, [beta]) = [[PI].
dry -1]) Greek Symbols [LAMBDA] cumulative hazard function (unitless) [alpha] Weibull rate parameter (s) [beta] Weibull shape parameter (unitless) Subscripts TI time-independent TD time-dependent desorp relating to moisture desorption 1,2,3,4 subscripts delineating parameters
In the second plot, we add `state' to this hazard function: this generates a family of hazard functions.
Figure 1 presents the Kaplan-Meier hazard function for new spells, by State.

Site: Follow: Share:
Open / Close