The principal finding of this study is that postoperative mortality after major cardiac surgery exhibits a heterogeneous temporal pattern, with abrupt changes in the hazard function
observed at day 6 and 30.
These coefficients may be interpreted in the same way as the corresponding coefficients in the hazard function
estimations reported in Section III.
Figure 2 presents fitted hazard functions
describing the conditional probability of high school graduation for students with different disability types, grouped by similar time-to-graduation profiles.
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.
Children may have many short enrollment and disenrollment spells, and as a result, the Kaplan-Meier hazard functions
for new spells and for disenrollment spells may understate the long-term attachment to SCHIP coverage.
Distributional assumptions regarding the shape of the hazard function
can play a significant role in models of continuous time data.
In addition, as the prediction of monotonicity obtained above is based on certain potentially restrictive modeling assumptions, the authors prefer to estimate a second specification for the hazard function
that does not imply any particular functional form for the settlement hazard over time.
A hazard function
tracks changes over time in the hazard rate, which is simply the probability that a bank will fail at a particular time, given that it has survived through all of the previous periods leading up to that time.
The hazard function
models have been used extensively in studies of unemployment duration [Lancaster (1979); Brooks and Volker (1984)].
What should the hazard function
look like for firms of pre-reform vintages, but estimated in years after the reform?
Other subjects explored include characterization of distributions by regressional properties of records, moments of residual life, characterizing distributions by conditional expectations of functions of non-adjacent record values, and characterizations of univariate continuous distributions based on hazard function