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316558

Admissibility and Uniform Admissibility when Estimating the Population Counterpart of a U-Statistic

Article

Last updated: 05 Jan 2025

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Abstract

We consider the estimation problem of a class of parametric functions namely the population counterpart of a U-statistic. Recently, Meeden and Ghosh (1982,1983) have provided quite simple but powerful tools for proving admissibility of estimators and estimator design pairs in finite population sampling problems. These techniques have been then generalized by Mazloum and Meeden (1987). We consider what these techniques yield in the way of admissibility results when estimating the class of functions discussed.

DOI

10.21608/esju.1988.316558

Keywords

Admissibility, Estimation Problem, Finite Population Sampling, Parametric Functions, U-Statistic

Authors

First Name

Reda

Last Name

Mazloum

MiddleName

Ibrahim

Affiliation

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City

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Orcid

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Volume

32

Article Issue

2

Related Issue

43398

Issue Date

1988-12-01

Receive Date

2023-09-07

Publish Date

1988-12-01

Page Start

116

Page End

134

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_316558.html

Detail API

https://esju.journals.ekb.eg/service?article_code=316558

Order

4

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Admissibility and Uniform Admissibility when Estimating the Population Counterpart of a U-Statistic

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Article

Created At

28 Dec 2024