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Article
Asymptotic Reliability Rheory of k-out-of-n Systems
Mathematics and Statistics Faculty Publications and Presentations
  • Nuria Torrado, Universidad Pública de Navarra
  • J. J. P. Veerman, Portland State University
Document Type
Post-Print
Publication Date
1-1-2012
Subjects
  • Order statistics,
  • Stochastic orders,
  • System analysis,
  • Asymptotic theory
Disciplines
Abstract

We formulate a theory that allows us to formulate a simple criterion that ensures that two k-out-of-n systems A and are not ordered. If the systems fail the criterion, it does not follow they are ordered. Thus the theory only serves to avoid some a priori useless comparisons: when neither A nor can be said to be better than the other. The power of the theory lies in its wide potential applicability: the assumptions involve very weak estimates on the asymptotic behavior (as t→0 and as t→∞) of the constituent survival probabilities. We include examples.

Description

This is the author’s version of a work that was accepted for publication in Journal of Statistical Planning and Inference. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication.

A definitive version was subsequently published in Journal of Statistical Planning and Inference and can be found online at: http://dx.doi.org/10.1016/j.jspi.2012.03.015

DOI
10.1016/j.jspi.2012.03.015
Persistent Identifier
http://archives.pdx.edu/ds/psu/17789
Citation Information
Nuria Torrado and J. J. P. Veerman. "Asymptotic Reliability Rheory of k-out-of-n Systems" (2012)
Available at: http://works.bepress.com/jj-veerman/41/