Mean and restricted mean survival time functions for distributions which are built into flexsurv.
mean_exp(rate = 1)rmst_exp(t, rate = 1, start = 0)
mean_gamma(shape, rate = 1)
rmst_gamma(t, shape, rate = 1, start = 0)
rmst_genf(t, mu, sigma, Q, P, start = 0)
mean_genf(mu, sigma, Q, P)
rmst_genf.orig(t, mu, sigma, s1, s2, start = 0)
mean_genf.orig(mu, sigma, s1, s2)
rmst_gengamma(t, mu = 0, sigma = 1, Q, start = 0)
mean_gengamma(mu = 0, sigma = 1, Q)
rmst_gengamma.orig(t, shape, scale = 1, k, start = 0)
mean_gengamma.orig(shape, scale = 1, k)
rmst_gompertz(t, shape, rate = 1, start = 0)
mean_gompertz(shape, rate = 1)
mean_llogis(shape = 1, scale = 1)
rmst_llogis(t, shape = 1, scale = 1, start = 0)
mean_lnorm(meanlog = 0, sdlog = 1)
rmst_lnorm(t, meanlog = 0, sdlog = 1, start = 0)
mean_weibull(shape, scale = 1)
rmst_weibull(t, shape, scale = 1, start = 0)
rmst_weibullPH(t, shape, scale = 1, start = 0)
mean_weibullPH(shape, scale = 1)
mean survival (functions beginning 'mean') or restricted mean survival (functions beginning 'rmst_').
Rate parameter (exponential and gamma)
Vector of times to which restricted mean survival time is evaluated
Optional left-truncation time or times. The returned restricted mean survival will be conditioned on survival up to this time.
Shape parameter (Weibull, gamma, log-logistic, generalized gamma [orig], generalized F [orig])
Mean on the log scale (generalized gamma, generalized F)
Standard deviation on the log scale (generalized gamma, generalized F)
Vector of first shape parameters (generalized gamma, generalized F)
Vector of second shape parameters (generalized F)
Vector of first F shape parameters (generalized F [orig])
vector of second F shape parameters (generalized F [orig])
Scale parameter (Weibull, log-logistic, generalized gamma [orig], generalized F [orig])
vector of shape parameters (generalized gamma [orig]).
Mean on the log scale (log normal)
Standard deviation on the log scale (log normal)
Christopher Jackson <chris.jackson@mrc-bsu.cam.ac.uk>
For the exponential, Weibull, log-logistic, lognormal, and gamma, mean survival is provided analytically. Restricted mean survival for the exponential distribution is also provided analytically. Mean and restricted means for other distributions are calculated via numeric integration.