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Perform censored quantile regression of Huang (2010) doi:10.1214/09-AOS771, and restore monotonicity respecting via adaptive interpolation for dynamic regression of Huang (2017) doi:10.1080/01621459.2016.1149070. The monotonicity-respecting restoration applies to general dynamic regression models including (uncensored or censored) quantile regression model, additive hazards model, and dynamic survival models of Peng and Huang (2007) doi:10.1093/biomet/asm058, among others.
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