Annals of Statistics

Joint Admissibility of the Sample Means as Estimators of the Means of Finite Populations

V. M. Joshi

Full-text: Open access

Abstract

When samples are taken independently from different populations, the sample means are jointly admissible for the population means with the squared error as loss function. The result supplements a previous result that when there are many variate values associated with the population units, the sample means of the variate values are jointly admissible for the population means for general loss functions.

Article information

Source
Ann. Statist., Volume 7, Number 5 (1979), 995-1002.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176344783

Digital Object Identifier
doi:10.1214/aos/1176344783

Mathematical Reviews number (MathSciNet)
MR536502

Zentralblatt MATH identifier
0419.62011

JSTOR
links.jstor.org

Subjects
Primary: 62D05: Sampling theory, sample surveys

Keywords
Joint admissibility of the sample means squared error loss function inadmissibility multivariate normal population

Citation

Joshi, V. M. Joint Admissibility of the Sample Means as Estimators of the Means of Finite Populations. Ann. Statist. 7 (1979), no. 5, 995--1002. doi:10.1214/aos/1176344783. https://projecteuclid.org/euclid.aos/1176344783


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