hazard function


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hazard function

A formula used to estimate the prognosis of a person who has already survived an illness for a specific time.
See also: function
References in periodicals archive ?
As described above, the proportional hazards model does not let us test specific hypotheses about the shape of the hazard function.
The x[beta] term, determined by the player's personal and productivity characteristics, shifts the baseline hazard function, but it affects the baseline hazard function in exactly the same way each period.
Figure 3 contains Kaplan-Meier hazard functions for disenrollment spells (i.
For the exponential hazard function, the expected value of tenure, given age, is just
Next we need to specify the distribution of the baseline hazard function.
Analyzing the Z-scores across de novo banks of different ages provides some support for the shape of the de novo bank hazard function in figure 3.
The predicted hazard rates based on these logit estimates can be derived by substituting the estimated coefficients into the hazard functions given in Equations 1 and 5.
The hazard function is deemed increasing if [Alpha] [greater than] 1 [equivalence] ([Delta][Lambda]/[Delta]t) [greater than] 0, decreasing if [Alpha] [less than] 1 [equivalence] ([Delta][Lambda]/[Delta]t) [less than] 0, and constant if [Alpha] = 1 [equivalence] ([Delta][Lambda]/[Delta]t) = 0; the Weibull distribution simplifies to the exponential where there is no duration dependence.
In the presence of censored data, the appropriate model for examining the probability of being employed is the survival model (or hazard function model), which is applied to data that specify the time elapsed until an event occurs [Retherford and Choe (1993)].
The pdf of the failure time of the gearboxes was determined and, hence, the survivor function and hazard function could be constructed.
The model is semi-parametric in that it does not require specification of the form of the hazard function in advance, but rather is based on the assumption that all hazard functions for the sample are proportional to a baseline hazard function (Singer & Willet, 1991).
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