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December, 1983 The Robustness of Stein's Two-Stage Procedure
Ramkaran
Ann. Statist. 11(4): 1251-1256 (December, 1983). DOI: 10.1214/aos/1176346338

Abstract

The expressions for coverage probability and ASN of the Stein's two-stage confidence interval procedure for estimating the normal mean have been obtained under the assumption that the underlying distribution is, in fact, different from normal but could be approximated by the first four terms of Edgeworth series. The comparison of coverage probabilities with the corresponding probabilities obtained for the normal distribution shows that the procedure is quite insensitive to moderate departures from normality, and skewness of the parent population has very little effect on the coverage probability of the procedure. The Monte Carlo investigations which involve sampling from the gamma population confirm these conclusions.

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Ramkaran. "The Robustness of Stein's Two-Stage Procedure." Ann. Statist. 11 (4) 1251 - 1256, December, 1983. https://doi.org/10.1214/aos/1176346338

Information

Published: December, 1983
First available in Project Euclid: 12 April 2007

zbMATH: 0543.62029
MathSciNet: MR720270
Digital Object Identifier: 10.1214/aos/1176346338

Subjects:
Primary: 62F35
Secondary: 62L12

Keywords: ASN , Confidence interval , coverage probability , Edgeworth series , Monte Carlo , pivotal quantity

Rights: Copyright © 1983 Institute of Mathematical Statistics

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Vol.11 • No. 4 • December, 1983
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