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Quantile Regression

In: Mathematical Geosciences

Author

Listed:
  • Joseph L. Awange

    (Curtin University, Department of Spatial Sciences, School of Earth and Planetary Sciences)

  • Béla Paláncz

    (Budapest University of Technology and Economics, Department of Geodesy and Surveying, Faculty of Civil Engineering)

  • Robert H. Lewis

    (Fordham University)

  • Lajos Völgyesi

    (Budapest University of Technology and Economics, Department of Geodesy and Surveying, Faculty of Civil Engineering)

Abstract

The problem with OLS is demonstrated via Engel’s problem. Concept and definitions of quantiles as well as their connection with other statistical properties are given. Computation of the linear and nonlinear, like B-spline quantile regression are demonstrated. Robustness of QR is investigated. An application example, detecting outliers in cloud points of Lidar data, is illustrated.

Suggested Citation

  • Joseph L. Awange & Béla Paláncz & Robert H. Lewis & Lajos Völgyesi, 2023. "Quantile Regression," Springer Books, in: Mathematical Geosciences, edition 2, chapter 13, pages 469-515, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-92495-9_13
    DOI: 10.1007/978-3-030-92495-9_13
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