A constrained quadratic spline as a model for the cumulative hazard function

Vasiliy V. Krivtsov, Ilya V. Kolmanovsky and Timothy P. Davis

International Journal of Reliability and Safety, 2008, vol. 2, issue 3, 170-178

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. (search for similar items in EconPapers)
Date: 2008
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