survival_gg {sglg} | R Documentation |
Survival, Hazard, and Cumulative Hazard functions for a Generalized Gamma Distribution
Description
survival_gg
is used to obtain the value of survival, hazard and cumulative hazard functions of a generalized gamma distribution at a positive value.
Usage
survival_gg(x, mu, sigma, lambda)
Arguments
x |
numeric, represent a vector of positive values. Default value is 1. |
mu |
numeric, represents the location parameter of a generalized gamma distribution. Default value is 0. |
sigma |
numeric, represents the scale parameter of a generalized gamma distribution. Default value is 1. |
lambda |
numeric, represents the shape parameter of a generalized gamma distribution. Default value is 1. |
Value
A list of three vectors, survival, hazard, and cumulative hazard values of a generalized gamma distribution.
Author(s)
Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>
References
Carlos Alberto Cardozo Delgado, Semi-parametric generalized log-gamma regression models. Ph.D. thesis. Sao Paulo University.
Jerald F. Lawless (2003). Statistical Models and Methods for Lifetime Data. Second Edition. John-Wiley & Sons
Examples
survival_gg(0.0001,0,1,1) # Extreme value type I distribution, maximum case.
times <- seq(0.05,7,by=0.05)
plot(times, survival_gg(times,0,1,1)$survival_value,type='l')
plot(times, survival_gg(times,0,1,1)$hazard_value,type='l')
plot(times, survival_gg(times,0,1,1)$cumulative_hazard_value,type='l')