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More on Rao's Phenomenon
Jerome P. Keating
Sankhyā: The Indian Journal of Statistics, Series B (1960-2002)
Vol. 47, No. 1 (Apr., 1985), pp. 18-21
Published by: Indian Statistical Institute
Stable URL: http://www.jstor.org/stable/25052370
Page Count: 4
You can always find the topics here!Topics: Estimators, Unbiased estimators, Mathematical minima, Estimators for the mean, Maximum likelihood estimation, Statistical estimation, Estimation bias
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C. R. Rao (1981) has noted that shrinking the mean squared error of an unbiased estimator to a minimum mean squared error estimator does not necessarily yield an estimator which is better in the sense of Pitman Nearness. For an absolute error loss function, Rao's observations are shown to be uniformly true for certain estimation problems.
Sankhyā: The Indian Journal of Statistics, Series B (1960-2002) © 1985 Indian Statistical Institute