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 ?
The intuition behind equation (3), when using the logit model for the hazard function, is relatively simple.
(6.) Writing [mu] = [e.sup.[??]], the hazard function expressed in Equation ((8)) becomes:
The marginal hazard functions of two treatment groups are
Without accounting for shared frailty or heterogeneities and potential correlations, the duration model would suffer from a specification error that could lead to erroneous inferences on the shape of the hazard function. In addition, the standard error estimates of the regression parameters might be underestimated and inferences from the estimated model might be misleading [16].
This model is very flexible to describe lifetime data, since it has the hazard function with constant, increasing, decreasing, bathtub, and upside-down bathtub hazard rate.
Caption: Figure 1 Hazard Functions Plotted Across Repeated Occasions for Carriers in the Incur Violation and Leave Violation Subgroups
Results were similar during the fifth period, exactly 10% (hazard function of .1000).
We start with the hyperparameters [[eta].sub.0] and [[kappa].sub.0], which are chosen so that [H.sup.*] (t) in (2) is similar to the Nelson-Aalen estimator of the cumulative hazard function, which is therefore used to provide an initial guess for [H.sub.0] (t).
To determine whether a change in the hazard function occurred and to identify the timing of any change(s), joinpoint regression of hazard rates was used.
The hazard function h(t) of duration time T gives the conditional failure rate.
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