Bayesian Semiparametric Regression for Median Residual Life

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Bayesian Semiparametric Modelling in Quantile Regression (2009, background): “More recently, there has been some Bayesian work on censored median regression (e.g. Walker & Mallick, 1999; Kottas & Gelfand, 2001; Hanson & Johnson, 2002), and median residual life regression (Gelfand & Kottas, 2003).”
Approximate Bayesian inference for quantiles (2005, methodology): “Kottas and Gelfand [10] and Gelfand and Kottas [11] proposed alternative approaches for modeling of median 0 residuals distributions using mixtures.”
Simultaneous Linear Quantile Regression: A Semiparametric Bayesian Approach (2012, methodology): “Subsequent Bayesian approaches have looked into more flexible formulations of fε(²), including non-parametric formulations with extensions to the heteroscedastic case: fε(² | X = x) (Kottas and Gelfand 2001; Gelfand and Kottas 2003; Kottas and Krnjajić 2009; Thompson et al. 2010).”