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Central Limit Theorem for a Family of Reliability Measures

In: Recent Advances in Reliability and Quality in Design

Author

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  • P. Zeephongsekul

    (RMIT University)

Abstract

The main objective of this chapter is to present and prove a Central Limit Theorem for a measure of reliability, called gauge measure, which was introduced in an earlier paper. This measure is derived from a marked point process where the base process is a random point process and the marks are fuzzy random variables. The underlying point process represents the locations where faults are located and the fuzzy marks quantify the subjective assessment when remedial actions are implemented to restore the system to its former working condition. Several examples including an application are provided which serve to illustrate the many results presented in this chapter. Finally, we conclude this chapter with suggestions for future work.

Suggested Citation

  • P. Zeephongsekul, 2008. "Central Limit Theorem for a Family of Reliability Measures," Springer Series in Reliability Engineering, in: Hoang Pham (ed.), Recent Advances in Reliability and Quality in Design, chapter 1, pages 3-30, Springer.
  • Handle: RePEc:spr:ssrchp:978-1-84800-113-8_1
    DOI: 10.1007/978-1-84800-113-8_1
    as

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