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L 1 Approximation and the Analysis of Data
Author(s) -
Barrodale I.
Publication year - 1968
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.2307/2985267
Subject(s) - statistics , mathematics , computer science , econometrics
Summary When estimating the true form of experimental data that contain some very inaccurate points, the assumption that L 1 approximation is superior to L 2 approximation can easily be justified theoretically. This is an old idea, but since best L 1 approximations have only recently been readily obtained, we present here some numerical evidence with which to judge the extent of the improvement over orthodox least‐squares approximations.