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Asymptotic variance for sequential sampling without replacement with unequal probabilities

Asymptotic variance for sequential sampling without replacement with unequal probabilities
Asymptotic variance for sequential sampling without replacement with unequal probabilities
We propose a second-order inclusion probability approximation for the Chao plan (1982) to obtain an approximate variance estimator for the Horvitz and Thompson estimator. We will then compare this variance with other approximations provided for the randomized systematic sampling plan (Hartley and Rao 1962), the rejective sampling plan (Hájek 1964) and the Rao-Sampford sampling plan (Rao 1965 and Sampford 1967). Our conclusion will be that these approximations are equivalent if the first-order inclusion probabilities are small and if the sample is large.
0714-0045
167-173
Berger, Y.G.
8fd6af5c-31e6-4130-8b53-90910bf2f43b
Berger, Y.G.
8fd6af5c-31e6-4130-8b53-90910bf2f43b

Berger, Y.G. (1996) Asymptotic variance for sequential sampling without replacement with unequal probabilities. Survey Methodology, 22 (2), 167-173.

Record type: Article

Abstract

We propose a second-order inclusion probability approximation for the Chao plan (1982) to obtain an approximate variance estimator for the Horvitz and Thompson estimator. We will then compare this variance with other approximations provided for the randomized systematic sampling plan (Hartley and Rao 1962), the rejective sampling plan (Hájek 1964) and the Rao-Sampford sampling plan (Rao 1965 and Sampford 1967). Our conclusion will be that these approximations are equivalent if the first-order inclusion probabilities are small and if the sample is large.

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More information

Published date: December 1996

Identifiers

Local EPrints ID: 34109
URI: http://eprints.soton.ac.uk/id/eprint/34109
ISSN: 0714-0045
PURE UUID: 0c853d68-2468-4ddd-812b-eb6f129bd1f2
ORCID for Y.G. Berger: ORCID iD orcid.org/0000-0002-9128-5384

Catalogue record

Date deposited: 11 Jan 2008
Last modified: 12 Dec 2021 03:05

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