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Absolute Penalty Estimation

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References and Further Reading

  • Ahmed SE, Doksum KA, Hossain S, You J (2007) Shrinkage, pretest and absolute penalty estimators in partially linear models. Aust NZ J Stat 49(4):435–454

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  • Breiman L (1993) Better subset selection using the non-negative garotte. Technical report, University of California, Berkeley

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  • Efron B, Hastie T, Johnstone I, Tibshirani R (2004) Least angle regression (with discussion). Ann Stat 32(2):407–499

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  • Frank IE, Friedman JH (1993) A statistical view of some chemometrics regression tools. Technometrics 35:109–148

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  • Hastie T, Tibshirani R, Friedman J (2009) The elements of statistical learning: data mining, inference, and prediction, 2nd edn. Springer, New York

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  • Hoerl AE, Kennard RW (1970) Ridge regression: biased estimation for nonorthogonal problems. Technometrics 12:55–67

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  • Tibshirani R (1996) Regression shrinkage and selection via the lasso. J R Stat Soc B 58:267–288

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  • Tikhonov An (1963) Solution of incorrectly formulated problems and the regularization method. Soviet Math Dokl 4:1035–1038, English translation of Dokl Akad Nauk SSSR 151, 1963,501–504

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  • Zou H, Hastie T (2005) Regularization and variable selction via the elastic net. J R Stat Soc B 67(2):301–320

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Author information

Authors and Affiliations

  1. University of Windsor, Windsor, ON, Canada

    Ejaz S. Ahmed (Professor and Department Head of Mathematics and Statistics), Enayetur Raheem & Shakhawat Hossain

Authors
  1. Ejaz S. Ahmed
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  2. Enayetur Raheem
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  3. Shakhawat Hossain
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Editor information

Editors and Affiliations

  1. Department of Statistics and Informatics, Faculty of Economics, University of Kragujevac, City of Kragujevac, Serbia

    Miodrag Lovric

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© 2011 Springer-Verlag Berlin Heidelberg

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Ahmed, E.S., Raheem, E., Hossain, S. (2011). Absolute Penalty Estimation. In: Lovric, M. (eds) International Encyclopedia of Statistical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04898-2_102

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