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Robust Sample Survey Inference via Bootstrapping and Bias Correction: The Case of the Ratio Estimator

Robust Sample Survey Inference via Bootstrapping and Bias Correction: The Case of the Ratio Estimator
Robust Sample Survey Inference via Bootstrapping and Bias Correction: The Case of the Ratio Estimator
The bootstrap approach to statistical inference is described in Efron (1982). The method has wide applicability and has seen considerable development in recent years. However, use of the bootstrap in sample survey inference has been somewhat limited. Rao and Wu (1988), describe an application of the bootstrap under the design-based approach to sample survey inference. Sitter (1992a, 1992b), has extended their results to more complex survey designs. More recently, Booth, Butler and Hall (1991) and Booth and Murison (1992) describe a rather different approach to constructing a design-based bootstrap. In this paper we describe how this approach to the bootstrap can be applied under model-based sample survey inference, focussing on an application where the popular ratio estimator is the estimator of choice.
M03/13
Southampton Statistical Sciences Research Institute, University of Southampton
Chambers, R. L.
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Dorfman, A. H.
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Chambers, R. L.
8a7dccad-7738-408e-a509-2de287bde907
Dorfman, A. H.
ee24f795-5a10-4cd5-9457-e74db8fbbccc

Chambers, R. L. and Dorfman, A. H. (2003) Robust Sample Survey Inference via Bootstrapping and Bias Correction: The Case of the Ratio Estimator (S3RI Methodology Working Papers, M03/13) Southampton, UK. Southampton Statistical Sciences Research Institute, University of Southampton 21pp.

Record type: Monograph (Project Report)

Abstract

The bootstrap approach to statistical inference is described in Efron (1982). The method has wide applicability and has seen considerable development in recent years. However, use of the bootstrap in sample survey inference has been somewhat limited. Rao and Wu (1988), describe an application of the bootstrap under the design-based approach to sample survey inference. Sitter (1992a, 1992b), has extended their results to more complex survey designs. More recently, Booth, Butler and Hall (1991) and Booth and Murison (1992) describe a rather different approach to constructing a design-based bootstrap. In this paper we describe how this approach to the bootstrap can be applied under model-based sample survey inference, focussing on an application where the popular ratio estimator is the estimator of choice.

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Published date: 2003

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Local EPrints ID: 8163
URI: http://eprints.soton.ac.uk/id/eprint/8163
PURE UUID: ca3e5349-5ed6-4f1d-a9ee-1bb9728c9a6b

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Date deposited: 11 Jul 2004
Last modified: 15 Mar 2024 04:51

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Contributors

Author: R. L. Chambers
Author: A. H. Dorfman

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