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315779

An Asymptotic Variance Formula for Sampling Without Replacement with Unequal Probabilities

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Last updated: 28 Dec 2024

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Abstract

Asymptotic formulae for the variance of the Horvitz and Thompson Estimator for sampling with unequal probabilities without replacement have e inter previously been derived for a number of particular sampling procedures. To order N¹ these asymptotic formulae are identical. In this paper the asymptotic formula to order N is established, under a linear stochastic model, for the general class of sampling procedures in which the number of sample units is fixed and sampling is strictly without replacement.

DOI

10.21608/esju.1972.315779

Keywords

Asymptotic Formulae, The Variance of the Horvitz and Thompson Estimator, A Linear Stochastic Model

Authors

First Name

Muhammad

Last Name

Hanif

MiddleName

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Affiliation

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Volume

16

Article Issue

2

Related Issue

43313

Issue Date

1972-12-01

Receive Date

2023-09-03

Publish Date

1972-12-01

Page Start

183

Page End

188

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_315779.html

Detail API

https://esju.journals.ekb.eg/service?article_code=315779

Order

1

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

An Asymptotic Variance Formula for Sampling Without Replacement with Unequal Probabilities

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Article

Created At

28 Dec 2024