Authors: Vasiliy V. Krivtsov, Ilya V. Kolmanovsky, Timothy P. Davis
Addresses: Ford Motor Company, Dearborn, Michigan, USA. ' Ford Motor Company, Dearborn, Michigan, USA. ' Ford Motor Company, Dearborn, Michigan, USA
Abstract: Probability distributions traditionally used in reliability analysis (e.g. exponential, Weibull, lognormal, normal, gamma and inverse Gaussian) do not always provide enough flexibility to model real-world lifetime data. Considered in this paper is a quadratic spline with a single free knot as a model of the cumulative hazard function for increasing failure rate distributions. A parsimonious (essentially closed form) solution with a simple numerical search is proposed for estimating spline parameters. Automotive warranty data examples are discussed as an illustration.
Keywords: cumulative hazard function; spline models; quadratic spline; automotive warranty data; automobile industry; reliability analysis.
International Journal of Reliability and Safety, 2008 Vol.2 No.3, pp.170 - 178
Available online: 01 Nov 2008Full-text access for editors Access for subscribers Purchase this article Comment on this article