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Weighted Median of the Data in Solving Least Absolute Deviations Problems
Authors:Ivan Vazler  Rudolf Scitovski
Affiliation:Department of Mathematics , University of Osijek , Osijek , Croatia
Abstract:We consider the weighted median problem for a given set of data and analyze its main properties. As an illustration, an efficient method for searching for a weighted Least Absolute Deviations (LAD)-line is given, which is used as the basis for solving various linear and nonlinear LAD-problems occurring in applications. Our method is illustrated by an example of hourly natural gas consumption forecast.
Keywords:LAD  Least absolute deviations  Median  Weighted LAD-line  Weighted median
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