Hazard Function for Different Transition Models

Usage

haz(transition, t, trans)

# S3 method for ExponentialTransition
haz(transition, t, trans)

# S3 method for WeibullTransition
haz(transition, t, trans)

# S3 method for PWCTransition
haz(transition, t, trans)

Arguments

transition: (ExponentialTransition or WeibullTransition)
see exponential_transition() or weibull_transition() for details.
t: (numeric)
time at which hazard is to be computed.
trans: (integer)
index specifying the transition type.

Value

The hazard rate for the specified transition and time.

Details

The transition types are:

1: Transition from state 0 (stable) to 1 (progression).
2: Transition from state 0 (stable) to 2 (death).
3: Transition from state 1 (progression) to 2 (death).

Methods (by class)

haz(ExponentialTransition): for an exponential transition model.
haz(WeibullTransition): for the Weibull transition model.
haz(PWCTransition): for the piecewise constant transition model.

Examples

transition <- exponential_transition(h01 = 1.2, h02 = 1.5, h12 = 1.6)
haz(transition, 0.4, 2)
#> [1] 1.5
transition <- exponential_transition(h01 = 1.2, h02 = 1.5, h12 = 1.6)
haz(transition, 0.4, 2)
#> [1] 1.5
transition <- weibull_transition(h01 = 1.2, h02 = 1.5, h12 = 1.6, p01 = 2, p02 = 2.5, p12 = 3)
haz(transition, 0.4, 2)
#> [1] 0.9486833
transition <- piecewise_exponential(
  h01 = c(1, 1, 1), h02 = c(1.5, 0.5, 1), h12 = c(1, 1, 1),
  pw01 = c(0, 3, 8), pw02 = c(0, 6, 7), pw12 = c(0, 8, 9)
)
haz(transition, 6, 2)
#> [1] 0.5