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# R package 'abrem'
# Abernethy Reliability Methods
# Implementations of lifetime data analysis methods described in
# 'The New Weibull Handbook, Fifth edition' by Dr. Robert B. Abernethy.
# April 2014, Jurgen Symynck
# Copyright 2014, Jurgen Symynck
#
# For more info, visit http://www.openreliability.org/
#
# For the latest version of this file, check the Subversion repository at
# http://r-forge.r-project.org/projects/abernethy/
#
# Disclaimer:
# The author is not affiliated with Dr. Abernethy or Wes Fulton - CEO of
# Fulton Findings(TM) and author of the software package SuperSMITH
#-------------------------------------------------------------------------------
# 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/>.
#
# +-----------------------------------+
# | execute this software with R: |
# | http://www.r-project.org/ |
# +-----------------------------------+
F0 <- function(q)
1-exp(-exp(q))
F0inv <- function(p,log="x"){
# transformation function to plot its argument
# on the y-axis of the Weibull plot. This transformation function
# lets the Weibull curve appear as a straight line on the weibull paper
#
# This is also the inverse Cumulative Distribution function of the
# standardized Weibull plot with beta=eta=1
# comparing both implementationss of F0inv() with
# system.time() does not show any significant difference
# log(log(1/(1-p)))}
if(log %in% c("x",""))ret <- log(qweibull(p,1,1)) else ret <- qlnorm(p,0,1)
ret
}
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