Improving efficiency by shrinkage : the James-Stein and ridge regression estimators

書誌事項

Improving efficiency by shrinkage : the James-Stein and ridge regression estimators

Marvin H.J. Gruber

(Statistics : textbooks and monographs, v. 156)

Marcel Dekker, 1998

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注記

Includes bibliographical references and indexes

内容説明・目次

内容説明

Offers a treatment of different kinds of James-Stein and ridge regression estimators from a frequentist and Bayesian point of view. The book explains and compares estimators analytically as well as numerically and includes Mathematica and Maple programs used in numerical comparison.;College or university bookshops may order five or more copies at a special student rate, available on request.

目次

  • Introduction to shrinkage estimators: the Stein paradox
  • the ridge estimators of Hoerl and Kennard. Estimation for a single linear model: the James-Stein estimator for a single model
  • ridge estimators from different general points of view
  • improving the James-Stein estimator - the positive parts. Other linear model setups: the simultaneous estimation problem
  • precision of individual estimators
  • the multivariate model
  • other linear model setups.

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