tbs: The TBS Time Failure Distribution

Description

Density function, distribution function, quantile function, random generation function and hazard function for the Transform-Both-Sides (TBS) model.

Usage

dtbs(time,lambda=1,xi=1,beta=1,x=NULL,dist=dist.error("norm"))
 ptbs(time,lambda=1,xi=1,beta=1,x=NULL,dist=dist.error("norm"))
 qtbs(p,lambda=1,xi=1,beta=1,x=NULL,dist=dist.error("norm"))
 rtbs(n,lambda=1,xi=1,beta=1,x=NULL,dist=dist.error("norm"))
 htbs(time,lambda=1,xi=1,beta=1,x=NULL,dist=dist.error("norm"))

Arguments

time

vector of quantiles.

vector of probabilities.

number of observations.

lambda

parameter of TBS.

parameter of the error distribution.

beta

parameter of the linear regressor.

vector/matrix of co-variables, x=NULL if there are not co-variables.

dist

Distribution of error, it can be string such as dist = "norm", "t", "doubexp", "cauchy" or "logistic, or it can also be given as a list of functions (density, distribution, quantile, random generation, name). Details below.

Value

`dtbs' gives the density, `ptbs'gives the distribution function, `qtbs' gives the quantile function, `rtbs' generates random deviates, `htbs'gives the hazard function. } seealso{ code{dist.error} } examples{ ptbs(1,lambda=2,xi=1,beta=1,dist=dist.error("norm")) }

Details

The density function, distribution function, quantile function, random generation and hazard function for the failure time of a TBS Model. The distribution of error can be chosen from Normal, t-Student, Cauchy, Logistic and Doub-Exponential (Laplace), or can be given by the user (as long as it is zero-centered, unimodal and symmetric -- TBS does not check it). See the help of dist.error for examples.