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On L\(_1\) and Chebyshev estimation. (English) Zbl 0271.41021


MSC:

41A50 Best approximation, Chebyshev systems
90C05 Linear programming
Full Text: DOI

References:

[1] I. Barrowdale and A. Young, ”Algorithms for best L1 and Lapproximation on a discrete set”,Numerische Mathematik 8 (1966) 295–306. · Zbl 0173.18801 · doi:10.1007/BF02162565
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[5] F.R. Glahe and J.G. Hunt, ”The small sample properties of simultaneous equation least absolute estimators vis-a-vis least squares estimators”,Econometrica 38 (1970) 742–753. · Zbl 0205.46203 · doi:10.2307/1912204
[6] E. Stiefel, ”Über diskrete und lineare Tschebyscheff-Approximationen”,Numerische Mathematik 1 (1959) 1–28. · Zbl 0083.11501 · doi:10.1007/BF01386369
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[8] L. Veidinger, ”On the numerical determination of the best approximation in the Chebyshev sense”,Numerische Mathematik 2 (1960) 99–105. · Zbl 0090.33702 · doi:10.1007/BF01386215
[9] H.M. Wagner, ”Linear programming techniques for regression analysis”,Journal of the American Statistical Association 54 (1957) 206–212. · Zbl 0088.35702 · doi:10.2307/2282146
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