Utility functions for the PC prior for the alpha parameter in the Weibull likelihood

Functions to evaluate, sample, compute quantiles and percentiles of the PC prior for the alpha parameter in the Weibull likelihood

inla.pc.ralphaw(n, lambda = 5)

inla.pc.dalphaw(alpha, lambda = 5, log = FALSE)

inla.pc.qalphaw(p, lambda = 5)

inla.pc.palphaw(q, lambda = 5)

Arguments

n

Number of observations

lambda

The rate parameter in the PC-prior

alpha

Vector of evaluation points, where alpha>0.

log

Logical. Return the density in natural or log-scale.

p

Vector of probabilities

q

Vector of quantiles

Value

inla.pc.dalphaw gives the density, inla.pc.palphaw gives the distribution function, inla.pc.qalphaw gives the quantile function, and inla.pc.ralphaw generates random deviates.

Details

This gives the PC prior for the alpha parameter for the Weibull likelihood, where alpha=1 is the base model.

See also

inla.doc("pc.alphaw")

Author

Havard Rue hrue@r-inla.org

Examples

 x = inla.pc.ralphaw(100,  lambda = 5)
 d = inla.pc.dalphaw(x, lambda = 5)
 x = inla.pc.qalphaw(0.5, lambda = 5)
 inla.pc.palphaw(x, lambda = 5)
#> [1] 0.5