Open Access
June, 1987 Sequential Shrinkage Estimation
Malay Ghosh, David M. Nickerson, Pranab K. Sen
Ann. Statist. 15(2): 817-829 (June, 1987). DOI: 10.1214/aos/1176350377

Abstract

The paper develops a class of James-Stein estimators that dominates the sample mean under sequential sampling schemes of Ghosh, Sinha and Mukhopadhyay (1976). Asymptotic risk expansions of the sample mean and James-Stein estimators are provided up to the second-order term. Also, a Monte Carlo study is undertaken to compare the risks of these estimators.

Citation

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Malay Ghosh. David M. Nickerson. Pranab K. Sen. "Sequential Shrinkage Estimation." Ann. Statist. 15 (2) 817 - 829, June, 1987. https://doi.org/10.1214/aos/1176350377

Information

Published: June, 1987
First available in Project Euclid: 12 April 2007

zbMATH: 0639.62078
MathSciNet: MR888442
Digital Object Identifier: 10.1214/aos/1176350377

Subjects:
Primary: 62J07
Secondary: 62L12

Keywords: asymptotic risk expansions , James-Stein estimators , Monte Carlo , multivariate , sequential estimation

Rights: Copyright © 1987 Institute of Mathematical Statistics

Vol.15 • No. 2 • June, 1987
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