survival_gg: Survival, Hazard, and Cumulative Hazard functions for a...

In sglg: Fitting Semi-Parametric Generalized log-Gamma Regression Models

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 <[e-mail]>

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')

sglg documentation built on Sept. 4, 2022, 9:05 a.m.