A new regression model for recurrent events from repairable systems is proposed. The effectiveness of each repair in Kijima models I and II is regressed on repair-specific covariates. By modeling effective age in a flexible way, the model allows a spectrum of heterogeneous repairs besides "good as new" and "good as old" repairs. The density for the baseline hazard is modeled nonparametrically with a tailfree process prior which is centered at Weibull and yet allows substantial data-driven deviations from the centering family. Linearity in the predictors is relaxed using a B-spline transformation. The method is illustrated using simulations as well as two real data analyses. (C) 2013 Elsevier B.V. All rights reserved.
机构:Univ Calif Santa Cruz, Baskin Sch Engn, Dept Appl Math & Stat, Santa Cruz, CA 95064 USA
Gelfand, AE
Kottas, A
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Univ Calif Santa Cruz, Baskin Sch Engn, Dept Appl Math & Stat, Santa Cruz, CA 95064 USAUniv Calif Santa Cruz, Baskin Sch Engn, Dept Appl Math & Stat, Santa Cruz, CA 95064 USA
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Cornell Univ, Dept Stat & Data Sci, 129 Garden Ave, Ithaca, NY 14850 USA
Rice Univ, Dept Stat, Houston, TX USACornell Univ, Dept Stat & Data Sci, 129 Garden Ave, Ithaca, NY 14850 USA
Kowal, Daniel R.
Wu, Bohan
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Columbia Univ, Dept Stat, New York, NY USACornell Univ, Dept Stat & Data Sci, 129 Garden Ave, Ithaca, NY 14850 USA