Time-adaptive quantile regression

  • Authors:
  • Jan Kloppenborg Møller;Henrik Aalborg Nielsen;Henrik Madsen

  • Affiliations:
  • Informatics and Mathematical Modelling, Richard Pedersens Plads, Technical University of Denmark Building 321, DK-2800 Lyngby, Denmark;Informatics and Mathematical Modelling, Richard Pedersens Plads, Technical University of Denmark Building 321, DK-2800 Lyngby, Denmark;Informatics and Mathematical Modelling, Richard Pedersens Plads, Technical University of Denmark Building 321, DK-2800 Lyngby, Denmark

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 2008

Quantified Score

Hi-index 0.03

Visualization

Abstract

An algorithm for time-adaptive quantile regression is presented. The algorithm is based on the simplex algorithm, and the linear optimization formulation of the quantile regression problem is given. The observations have been split to allow a direct use of the simplex algorithm. The simplex method and an updating procedure are combined into a new algorithm for time-adaptive quantile regression, which generates new solutions on the basis of the old solution, leading to savings in computation time. The suggested algorithm is tested against a static quantile regression model on a data set with wind power production, where the models combine splines and quantile regression. The comparison indicates superior performance for the time-adaptive quantile regression in all the performance parameters considered.