The progressive censoring signature of coherent systems

Erhard Cramer and Jorge Navarro

Applied Stochastic Models in Business and Industry, 2016, vol. 32, issue 5, 697-710

Abstract: The distribution of a coherent system based on IID components can be written as a mixture of the distributions of progressively Type‐II censored order statistics. The coefficients in that representation are called the progressive censoring signature (PC‐signature) of the system. In this paper, we explore the basic properties and potential applications of these mixture representations. We show that they can be used to study the associated censoring schemes (and their exact probabilities) in the operating development of the system. It is illustrated that, in some sense, the PC‐signature provides more information than the classical (Samaniego) signature of the system. Further, this new signature can be used to establish distribution‐free ordering properties for system lifetimes. Copyright © 2016 John Wiley & Sons, Ltd.

Date: 2016
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1002/asmb.2188

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:apsmbi:v:32:y:2016:i:5:p:697-710

Access Statistics for this article

More articles in Applied Stochastic Models in Business and Industry from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().