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A study of some ridge-type shrinkage estimators. (English) Zbl 0707.62143

Summary: In this paper, several ridge-type shrinkage estimators are studied with respect to their relative efficiency. Some interrelationships which exist among these estimators are pointed out. One of these estimators, \(T_ 0\), based on the work of J. S. Mehta and R. Srinivasan [J. Am. Stat. Assoc. 66, 86-90 (1971; Zbl 0217.514)], is shown to be a flexible estimator, which has clear advantages over its competitors. A useful approximation for calculation of the relative efficiency of \(T_ 0\) is also presented.

MSC:

62J07 Ridge regression; shrinkage estimators (Lasso)
62F10 Point estimation

Citations:

Zbl 0217.514
Full Text: DOI

References:

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[2] DOI: 10.2307/1268066 · Zbl 0307.62050 · doi:10.2307/1268066
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[11] DOI: 10.2307/1268429 · Zbl 0324.62050 · doi:10.2307/1268429
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