pwecx: Various function for piecewise exponential distribution with...

In PWEALL: Design and Monitoring of Survival Trials Accounting for Complex Situations

Various function for piecewise exponential distribution with crossover effect

Description

This will calculate the functions according to the piecewise exponential distribution with crossover

Usage

pwecx(t=seq(0,10,by=0.5),rate1=c(1,0.5),rate2=rate1,rate3=c(0.7,0.4),
      rate4=rate2,rate5=rate2,tchange=c(0,1),type=1,rp2=0.5,eps=1.0e-2)

Arguments

t	a vector of time points
rate1	piecewise constant event rate before crossover
rate2	piecewise constant event rate after crossover
rate3	piecewise constant event rate for crossover
rate4	additional piecewise constant event rate for more complex crossover
rate5	additional piecewise constant event rate for more complex crossover
tchange	a strictly increasing sequence of time points starting from zero at which event rate changes. The first element of tchange must be zero. The above rates rate1 to rate5 and tchange must have the same length.
type	type of crossover, i.e. 1: markov, 2: semi-markov, 3: hybrid case 1(as indicated in the reference), 4: hybrid case 2, 5: hybrid case 3.
rp2	re-randomization prob
eps	tolerance

Details

More details

Value

hazard	Hazard function
cumhazard	Cumulative hazard function
density	Density function
dist	Distribution function
surv	Survival function

Note

This provides a random number generator of the piecewise exponetial distribution with crossover

Author(s)

Xiaodong Luo

References

Luo et al. (2018) Design and monitoring of survival trials in complex scenarios, Statistics in Medicine <doi: https://doi.org/10.1002/sim.7975>.

See Also

rpwe

Examples

r1<-c(0.6,0.3)
r2<-c(0.6,0.6)
r3<-c(0.1,0.2)
r4<-c(0.5,0.4)
r5<-c(0.4,0.5)
pwecxfun<-pwecx(t=seq(0,10,by=0.5),rate1=r1,rate2=r2,rate3=r3,rate4=r4,
                rate5=r5,tchange=c(0,1),type=1,eps=1.0e-2)
pwecxfun$surv

PWEALL documentation built on Aug. 9, 2023, 9:08 a.m.