means: Mean and restricted mean survival functions

In flexsurv: Flexible Parametric Survival and Multi-State Models

Mean and restricted mean survival functions

Description

Mean and restricted mean survival time functions for distributions which are built into flexsurv.

Usage

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)

Arguments

rate	Rate parameter (exponential and gamma)
t	Vector of times to which restricted mean survival time is evaluated
start	Optional left-truncation time or times. The returned restricted mean survival will be conditioned on survival up to this time.
shape	Shape parameter (Weibull, gamma, log-logistic, generalized gamma [orig], generalized F [orig])
mu	Mean on the log scale (generalized gamma, generalized F)
sigma	Standard deviation on the log scale (generalized gamma, generalized F)
Q	Vector of first shape parameters (generalized gamma, generalized F)
P	Vector of second shape parameters (generalized F)
s1	Vector of first F shape parameters (generalized F [orig])
s2	vector of second F shape parameters (generalized F [orig])
scale	Scale parameter (Weibull, log-logistic, generalized gamma [orig], generalized F [orig])
k	vector of shape parameters (generalized gamma [orig]).
meanlog	Mean on the log scale (log normal)
sdlog	Standard deviation on the log scale (log normal)

Details

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.

Value

mean survival (functions beginning 'mean') or restricted mean survival (functions beginning 'rmst_').

Author(s)

Christopher Jackson <[e-mail]>

See Also

dexp,dweibull,dgamma,dlnorm,dgompertz,dgengamma,dgenf

flexsurv documentation built on Feb. 16, 2023, 5:07 p.m.