phi.syn.cm {AdvBinomApps} | R Documentation |
Assembling of devices with countermeasures
Description
Function to compute the probability of having a certain number of failures out of min(n)
randomly assembled devices with countermeasures.
Usage
phi.syn.cm(k, n, K, theta)
Arguments
k |
vector of total numbers of failures for each subset. |
n |
vector of numbers of inspections for each subset. |
K |
matrix with entries K[j,i] denoting the number of failures of the j-th subset tackled with the i-th countermeasure. If two or more countermeasures
have the same efficiency, they can be handled as one countermeasure for several failures. If the i-th countermeasure does not apply to the j-th subset, then set K[j,i]=0. If there is no countermeasure for a failure at all, then it does not need to be considered in |
theta |
vector of (different) effectivenesses of countermeasures. |
Value
phi.cm |
data frame with possible numbers of failures (out of |
Author(s)
Daniel Kurz, Horst Lewitschnig
Maintainer: Horst Lewitschnig horst.lewitschnig@infineon.com
References
D. Kurz, H. Lewitschnig and J. Pilz: Failure probability estimation under additional subsystem information with application to semiconductor burn-in. Resubmitted to: Journal of Applied Statistics, 2015.
D. Kurz, H. Lewitschnig and J. Pilz: Decision-Theoretical Model for Failures Tackled by Countermeasures. IEEE Transactions on Reliability, 63(2): 583-592, 2014. DOI: 10.1109/TR.2014.2315952.
See Also
Examples
k<-c(0,1)
K<-matrix(c(0,1),2,1,byrow=TRUE)
theta<-0.8
n<-c(110000,330000)
phi.syn.cm(k,n,K,theta)
k<-c(1,1,2)
K<-matrix(c(0,0,0,1,1,1),3,2,byrow=TRUE)
theta<-c(0.7,0.5)
n<-c(10,15,20)
phi.syn.cm(k,n,K,theta)