Sentence examples for unspecified hazard from inspiring English sources

The intensity function for the { N i (t),  t ≥ 0} is given by Y i t exp β X i t d Λ 0 t Where X i (t) is a covariate process of dimension p and dΛ0 t) is an unspecified hazard function and e β is the hazard ratio (HR) associated with a one unit increase in exposure variable x i (t).

A Cox model assumes some unspecified baseline hazard function h 0 t), and a hazard function h(t;x) for each individual: h t ; x = h 0 t g x, (1).

A standard Cox proportional hazards model can be applied (and estimated by maximising the partial likelihood [ 24]): (1) h i (t ) = h 0 (t ) exp (β 1 x i ) where h0 t) is the unspecified baseline hazard rate and β1 the log hazard ratio (i.e. the treatment effect) for the treatment group compared to the control group.

Here, the function h 0 (t) is an unspecified baseline hazard function and gives the shape of the hazard function.

We have no theoretical concerns about time dependency, which is introduced in this model as an unspecified baseline hazard rate.

h0 t) is the unspecified baseline hazard.

Note that λ0 k (t) are unspecified baseline hazard functions varying with k = 1,.., K.

It is an unspecified baseline hazard rate describing the common shape of survival time distribution for all calves.

However, an unspecified baseline hazard function leads to underestimation of the standard errors of parameter estimates [ 18], and consequently bootstrapping is required to obtain appropriate standard errors.

The proposed model defines the survival function of subject i with covariate Z i as follows (3) where λ0 t) is an unspecified baseline hazard function and β an unknown regression parameter.

The Cox model assumes that there is an underlying unspecified baseline hazard that stays constant through time, that is, influenced by covariates that mitigate or enhance the risk of an event.