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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/ |
# +-----------------------------------+
bbb <- function(j,f,CL,beta,eta){
# function to calculate Beta Binomial Confidence Bounds for B-lives.
# j : rank of failure
# f : number of failures (is NOT the same as sample size!) see
# 'suspended items' fotr more info
# CB : Confidence Bound, Confidence Limit
# beta : Weibull slope or scale parameter
# eta : Weibull shape paramater
# see "The new Weibull handbook, fifth edition" p. 7-3
# see "The new Weibull handbook, fifth edition" Appendix I
# see also MS. Excel's and GNUmeric's BETAINV() function
eta*(log(1/(1-qbeta(CL,j,f-j+1))))^(1/beta)}
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