WNBUE Class and its Applications to Signature-Based Bounds for Reliability of Coherent Systems

Abdolsaeed Toomaj () and Narayanaswamy Balakrishnan ()
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Abdolsaeed Toomaj: Gonbad Kavous University
Narayanaswamy Balakrishnan: McMaster University Hamilton

Methodology and Computing in Applied Probability, 2024, vol. 26, issue 4, 1-17

Abstract: Abstract The inequalities are established here rational functions of the weighted moments and conditional weighted tail moments of the underlying failure distribution. In this paper, we first introduce a new notion of aging called “weighted new better (worse) than used in expectation” and then we present a procedure for developing reliability inequalities based on this new aging notion. Next, we apply it to obtain the reliability of a coherent system by using the Samaniego signature when the component lifetimes are independent and identically distributed. Specially, we use the new bounds for consecutive-type systems. These new bounds are easy to compute as they depend on the system signature and the parent distribution.

Keywords: System signature; Aging classes; NBUE; NWUE; MRL; 90B25; 60K10 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s11009-024-10107-9

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