Abstract

Parametric and non-parametric lifetime data analyses in practical applications require sensitive tools if non-monotonic ageing properties (trend changes) are to be examined. The well known bathtub-shaped hazard rate is a special model for describing a trend change in ageing properties over time. The identification of trend changes in the hazard rate can be supported by graphical tools. This paper discusses the combined application of graphical tools and parametric estimation in the flexible mixed gamma distribution family to identify trend changes and model bathtub-shaped hazard rates.

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