The University of Southampton
University of Southampton Institutional Repository

Variance estimation using list sequential scheme for unequal probability sampling

Variance estimation using list sequential scheme for unequal probability sampling
Variance estimation using list sequential scheme for unequal probability sampling
The problem of variance estimation is discussed in the light of the list sequential scheme proposed by Chao (1982), in which units are selected without replacement and with unequal probabilities. The variance is hard to estimate as it requires a large number of second-order inclusion probabilities. We prove that it is unnecessary to compute all these probabilities. We show that variance estimation needs only N numbers, where N is the population size.
variance estimation, sampling without replacement, horvitz-thompson estimator, yates-grundy estimator, inclusion probabilities, probability proportional-to-size sampling
0282-423X
315-323
Berger, Yves G.
8fd6af5c-31e6-4130-8b53-90910bf2f43b
Berger, Yves G.
8fd6af5c-31e6-4130-8b53-90910bf2f43b

Berger, Yves G. (1998) Variance estimation using list sequential scheme for unequal probability sampling. Journal of Official Statistics, 14 (3), 315-323.

Record type: Article

Abstract

The problem of variance estimation is discussed in the light of the list sequential scheme proposed by Chao (1982), in which units are selected without replacement and with unequal probabilities. The variance is hard to estimate as it requires a large number of second-order inclusion probabilities. We prove that it is unnecessary to compute all these probabilities. We show that variance estimation needs only N numbers, where N is the population size.

This record has no associated files available for download.

More information

Published date: September 1998
Keywords: variance estimation, sampling without replacement, horvitz-thompson estimator, yates-grundy estimator, inclusion probabilities, probability proportional-to-size sampling

Identifiers

Local EPrints ID: 34115
URI: http://eprints.soton.ac.uk/id/eprint/34115
ISSN: 0282-423X
PURE UUID: 12ad484f-885c-4616-b088-0e541bfea5f5
ORCID for Yves G. Berger: ORCID iD orcid.org/0000-0002-9128-5384

Catalogue record

Date deposited: 19 Dec 2007
Last modified: 12 Dec 2021 03:05

Export record

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×