title: Bayesian Inference for Reliability of Systems and Networks Using the Survival Signature.
abstract: The concept of survival signature has recently been introduced as an alternative to the signature for reliability quantification of systems. While these two concepts are closely related for systems consisting of a single type of component, the survival signature is also suitable for systems with multiple types of component, which is not the case for the signature. This also enables the use of the survival signature for reliability of networks. In this article, we present the use of the survival signature for reliability quantification of systems and networks from a Bayesian perspective. We assume that data are available on tested components that are exchangeable with those in the actual system or network of interest. These data consist of failure times and possibly right-censoring times. We present both a nonparametric and parametric approach.
authors.affiliation: Department of Statistics, University of Oxford, Oxford OX1 3TG, UK.
authors.forename: Louis J M
authors.initials: LJ
authors.lastname: Aslett
authors.affiliation: Department of Mathematical Sciences, Durham University, Durham DH1 3LE, UK.
authors.forename: Frank P A
authors.initials: FP
authors.lastname: Coolen
authors.affiliation: School of Computer Science and Statistics, Trinity College Dublin, Dublin, Ireland.
authors.forename: Simon P
authors.initials: SP
authors.lastname: Wilson
keywords: Bayesian methods; networks; nonparametrics; parametric lifetime distributions; system reliability