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.
167-173
Berger, Y.G.
8fd6af5c-31e6-4130-8b53-90910bf2f43b
December 1996
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), .
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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Published date: December 1996
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Local EPrints ID: 34109
URI: http://eprints.soton.ac.uk/id/eprint/34109
ISSN: 0714-0045
PURE UUID: 0c853d68-2468-4ddd-812b-eb6f129bd1f2
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Date deposited: 11 Jan 2008
Last modified: 12 Dec 2021 03:05
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