Central Limit Theorem for a Family of Reliability Measures

P. Zeephongsekul
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P. Zeephongsekul: RMIT University

Chapter 1 in Recent Advances in Reliability and Quality in Design, 2008, pp 3-30 from Springer

Abstract: 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.

Keywords: Point Process; Central Limit Theorem; Support Function; Asymptotic Variance; Normal Random Variable (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/978-1-84800-113-8_1

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