f1 {NPHMC}

Function One

Description

The first integrate function

Usage

f1(t, survdist, k, lambda0)

Arguments

t

time variable

survdist

survival distribution of uncured patients. It can be "exp" or "weib".

k

if survdist = "weib", the shape parameter k needs to be specified. By default k = 1, which refers to the exponential distribution.

lambda0

the scale parameter of exponential distribution or Weibull distribution for survival times of uncured patients in the control arm.

The density function of Weibull distribution with shape parameter k and scale parameter \lambda_{0} is given by

f(t)=\lambda_{0}k(\lambda_{0}t)^{k-1}\exp(-(\lambda_{0}t)^k),

for t > 0, and the corresponding survival distribution is

S(t)=\exp(-(\lambda_0 t)^k).