Computing Birnbaum and Barlow-Proschan importance measures using system signature

Femin Yalcin*, Ceki Franko

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Component importance measures are widely used in engineering and reliability analysis in testing the safety of running systems. There are several component importance measures to realize which components in a coherent system play a more important role than the others. The most common ones belong to Birnbaum and Barlow & Proschan. In this paper a new method, based on the number of path sets with exactly i working components such that the component at sth place functions, has been proposed to evaluate these two measures for all types of systems appearing in the literature.

Original languageEnglish
Pages (from-to)8446-8457
Number of pages12
JournalCommunications in Statistics - Theory and Methods
Issue number23
Publication statusPublished - 2022
Externally publishedYes


  • Barlow and Proschan importance
  • Birnbaum importance
  • Component importance
  • consecutive systems
  • system signature


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