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On modelling data from degradation sample paths over time
Authors:Tsung I Lin  Jack C Lee
Abstract:This paper is mainly concerned with modelling data from degradation sample paths over time. It uses a general growth curve model with Box‐Cox transformation, random effects and ARMA(p, q) dependence to analyse a set of such data. A maximum likelihood estimation procedure for the proposed model is derived and future values are predicted, based on the best linear unbiased prediction. The paper compares the proposed model with a nonlinear degradation model from a prediction point of view. Forecasts of failure times with various data lengths in the sample are also compared.
Keywords:ARMA(p  q) dependence  Box‐Cox transformation  ECME  maximum likelihood estimation  semi‐variogram
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