Annals of Statistics

Admissible Estimators for the Total of a Stratified Population that Employ Prior Information

Stephen Vardeman and Glen Meeden

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Abstract

We consider the problem of the estimation of the total of a stratified finite population. For two levels of prior knowledge about the stratification, we provide Bayes and pseudo-Bayes estimators that make use of this prior knowledge in sensible ways. We then note that admissibility results can be established for these estimators using the techniques of Meeden and Ghosh (1982, 1983) and indicate some possible natural extensions of the present work.

Article information

Source
Ann. Statist., Volume 12, Number 2 (1984), 675-684.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176346514

Digital Object Identifier
doi:10.1214/aos/1176346514

Mathematical Reviews number (MathSciNet)
MR740920

Zentralblatt MATH identifier
0621.62012

JSTOR
links.jstor.org

Subjects
Primary: 62D05: Sampling theory, sample surveys
Secondary: 62C15: Admissibility

Keywords
Finite population sampling stratification prior information admissibility stepwise Bayes

Citation

Vardeman, Stephen; Meeden, Glen. Admissible Estimators for the Total of a Stratified Population that Employ Prior Information. Ann. Statist. 12 (1984), no. 2, 675--684. doi:10.1214/aos/1176346514. https://projecteuclid.org/euclid.aos/1176346514


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