@article{ref1,
title="General formula for upper bound of probability of failure",
journal="Reliability engineering",
year="1984",
author="Ichikawa, M.",
volume="8",
number="1",
pages="57-62",
abstract="A formula for upper bound of probability of failure is proposed for the case in which the failure condition is expressed in the general form of H (x1, x2,..., xn)≤ 0 where x1, x2,..., xn are relevant variables. This is an extension of the previous formula for the case in which the failure condition is expressed as H (R,S)≤0 where R and S are the strength and stress, respectively. This formula can be a useful tool for reliability evaluation when only the means and the variances of relevant variables are known and their distribution forms are unknown or unclear. This paper also reveals a relation between upper bound of probability of failure and the so-called safety index. This relation gives a quantitative base to the safety index.<p />",
language="",
issn="0143-8174",
doi="10.1016/0143-8174(84)90035-0",
url="http://dx.doi.org/10.1016/0143-8174(84)90035-0"
}