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Biometrika 1979 66(1):177-180; doi:10.1093/biomet/66.1.177
© 1979 by Biometrika Trust
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Miscellanea

Mean squared errors of estimates of a density and its derivatives

R. S. SINGH

Department of Mathematics and Statistics, University of Guelph Ontario

The behaviour of the mean squared errors of estimators of a density and its derivatives proposed by Singh (1977a) is examined. Asymptotic values of mean squared errors at some points, for the normal population model in particular, are compared with different choices of estimators leading to estimators giving minimum asymptotic mean squared errors.

Key Words: Bias • Density • Mean squared error • Normal population • Standard error


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