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494 – Simulation-Based Approaches
A Two-Stage Nonparametric Quantile Regression
Rachel Clemens
Brock University
Estimating extreme conditional quantiles is an important problem. Many studies on this problem use a quantile regression (QR) method. The regular QR method often sets a linear model, which estimates the coefficients in the model to obtain the estimated conditional quantile. The real-world applications may be restricted by this approach’s model setting. This project proposes a two-stage direct nonparametric extrapolation quantile regression method to overcome this restriction. Monte Carlo simulations show good efficiency for the proposed direct nonparametric QR extrapolation estimator relative to the linear QR extrapolation estimator. This project also investigates an example of rainfall in Toronto, Canada using the proposed method with comparisons to the linear methods.