sglg (version 0.2.2)

survival_gg: 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)

Value

A list of three vectors, survival, hazard, and cumulative hazard values of a generalized gamma distribution.

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.

Author

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')