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March, 1983 Choosing Between Experiments: Applications to Finite Population Sampling
Glen Meeden, Malay Ghosh
Ann. Statist. 11(1): 296-305 (March, 1983). DOI: 10.1214/aos/1176346080

Abstract

Suppose that a statistician is faced with a decision problem involving an unknown parameter. Before making his decision he can carry out one of two possible experiments. Assume that he may choose at random which of the two experiments he will observe. For this problem a decision procedure for the statistician is a triple consisting of the randomizing probability measure he uses to choose between the experiments, the decision function he uses if he observes the first experiment and the decision function he uses if he observes the second experiment. The main theorem of this paper identifies the set of such admissible triples when the parameter space, and the sample spaces of the two experiments are finite. This result is then used to find some uniformly admissible procedures for some problems in finite population sampling.

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Glen Meeden. Malay Ghosh. "Choosing Between Experiments: Applications to Finite Population Sampling." Ann. Statist. 11 (1) 296 - 305, March, 1983. https://doi.org/10.1214/aos/1176346080

Information

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

zbMATH: 0508.62012
MathSciNet: MR684887
Digital Object Identifier: 10.1214/aos/1176346080

Subjects:
Primary: 62C15
Secondary: 62C10 , 62D05

Keywords: Admissibility , Basu estimator , Bayes , choice of designs , Choosing between experiments , finite population sampling , Horvitz-Thompson estimator , orthogonal priors , ratio estimator , uniform admissibility

Rights: Copyright © 1983 Institute of Mathematical Statistics

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Vol.11 • No. 1 • March, 1983
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