Publications [#258743] of Surya T. Tokdar
Papers Published
- Tokdar, ST; Kadaney, JB. "Simultaneous linear quantile regression: A semiparametric bayesian approach." Bayesian Analysis 7.1 (2012): 51-72. [doi]
(last updated on 2026/01/14)Abstract:
We introduce a semi-parametric Bayesian framework for a simultaneous analysis of linear quantile regression models. A simultaneous analysis is essential to attain the true potential of the quantile regression framework, but is computa-tionally challenging due to the associated monotonicity constraint on the quantile curves. For a univariate covariate, we present a simpler equivalent characterization of the monotonicity constraint through an interpolation of two monotone curves. The resulting formulation leads to a tractable likelihood function and is embedded within a Bayesian framework where the two monotone curves are modeled via lo-gistic transformations of a smooth Gaussian process. A multivariate extension is suggested by combining the full support univariate model with a linear projection of the predictors. The resulting single-index model remains easy to fit and provides substantial and measurable improvement over the first order linear heteroscedastic model. Two illustrative applications of the proposed method are provided. © 2012 International Society for Bayesian Analysis.