AdvBinomApps (version 1.0)

phi.syn.cm: 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 K (the failure itself is already considered in k).

theta

vector of (different) effectivenesses of countermeasures.

Value

phi.cm

data frame with possible numbers of failures (out of min(n) assembled devices) and associated probabilities considering the implemented countermeasures.

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

phi.syn ci.syn ci.syn.cm

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)