Quantile Regression

Joseph L. Awange (), Béla Paláncz (), Robert H. Lewis () and Lajos Völgyesi ()
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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

Chapter 13 in Mathematical Geosciences, 2023, pp 469-515 from Springer

Abstract: 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.

Date: 2023
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DOI: 10.1007/978-3-030-92495-9_13

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