TTT-SiZer: A graphic tool for aging trends recognition. (October 2020)

• Record Type: Journal Article
• Authors: Gámiz, Maria Luz; Nozal-Cañadas, Rafael; Raya-Miranda, Rocío
• Is Part Of: Reliability engineering & system safety. Volume 202(2020)
• Publication Date: 2020-10
• Subjects: Total-time-on-test transform -- Kernel smoothing -- Order statistics -- SiZer map; 90B25 -- 62N05; 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.2020.107010
• Languages: English
• ISSNs: 0951-8320

Abstract

Highlights: Scale-space inference through SiZer map. Smooth estimation of the Total-Time-on-Test transform. Visual testing for lifetime model selection. Aging properties evaluation based on data. Implementation of methods in by means of self-programmed code in R. Abstract: A new graphic tool is presented to test aging trends based on lifetime data. The graphical test is developed by means of scale and space inference about the Total-Time-on-Test transform and its first and second derivatives. The graphic tool TTT-SiZer is defined considering nonparametric local polynomial kernel estimators and constructing the corresponding (simultaneous as well as punctual) confidence intervals around three different curves. The finite sample properties of the method are evaluated by a simulation study and the comparison with other non-graphical tests shows that the graphical test helps localize discrepancies of empirical data concerning a given hypothesized aging property, thus allowing to solve the problem locally.