Some reliability issues for incomplete two-dimensional warranty claims data. (January 2017)

• Record Type: Journal Article
• Authors: Kumar Gupta, Sanjib; De, Soumen; Chatterjee, Aditya
• Is Part Of: Reliability engineering & system safety. Volume 157(2017)
• Page Start: 64
• Page End: 77
• Publication Date: 2017-01
• Subjects: Usage rate -- Censoring -- Copula -- Reliability -- Hazard gradient; Reliability (Engineering) -- Periodicals; System safety -- Periodicals; Industrial safety -- Periodicals; Fiabilité -- Périodiques; Sécurité des systèmes -- Périodiques; Sécurité du travail -- Périodiques; 620.00452
• DOI: 10.1016/j.ress.2016.08.015
• Languages: English
• ISSNs: 0951-8320

Abstract

Abstract: Bivariate reliability and vector bivariate hazard rate or hazard gradient functions are expected to have a role for meaningful assessment of the field performance for items under two-dimensional warranty coverage. In this paper a usage rate based simple class of bivariate reliability function is proposed and various bivariate reliability characteristics are studied for warranty claims data. The utilities of such study are explored with the help of a real life synthetic data. Abstract : Highlights: Independence between age and usage rate is established. Conditional reliability and hazard gradient along age and usage are determined. The change point of the hazard gradients is estimated. The concepts of layered renewal process and NHPP are introduced. Expected number of renewals and failures at different age-usage cut-offs are obtained.