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# TBSSurvival package for R (http://www.R-project.org)
# Copyright (C) 2013 Adriano Polpo, Cassio de Campos, Debajyoti Sinha
# Jianchang Lin and Stuart Lipsitz.
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
# t-student density function (an alternative to dt)
.dt2 <- function(x,df) {
return(exp(lgamma((df+1)/2)-(1/2)*log(df*pi)-lgamma(df/2)-((df+1)/2)*log(1 + (x^2)/df)))
}
# t-student distribution function (an alternative to pt)
.pt2 <- function(x,df) {
out <- rep(NA,length(x))
if (!is.null(x[x >= 0]))
out[x >= 0] <- 1-(1/2)*pbeta(df/(x[x >= 0]^2+df),df/2,1/2)
if (!is.null(x[x < 0]))
out[x < 0] <- (1/2)*pbeta(df/(abs(x[x < 0])^2+df),df/2,1/2)
return(out)
}
# t-student quantile function (an alternative to qt)
.qt2 <- function(q,df) {
out <- rep(NA,length(q))
if (!is.null(q[(q >= 0.5) & (q < 1)]))
out[(q >= 0.5) & (q < 1)] <- sqrt((df/qbeta((-2)*(q[(q >= 0.5) & (q < 1)]-1),df/2,1/2))-df)
if (!is.null(q[(q < 0.5) & (q > 0)]))
out[(q < 0.5) & (q > 0)] <- -sqrt((df/qbeta(2*q[(q < 0.5) & (q > 0)],df/2,1/2))-df)
return(out)
}
# random generate from t-student distribution (an alternative to rt)
.rt2 <- function(n,df) {
return(.qt2(runif(n),df))
}
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