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357893

Calibration Estimators of the Population Parameters Using Stratified Random Sample

Article

Last updated: 05 Jan 2025

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الديموغرافيا
نظرية التقدير

Abstract

One of the fundamental questions in sampling is how to use the complete auxiliary information in the estimating stag effectively. In sample surveys, recent advanced literature on estimation using auxiliary information can be classified into three main approaches according to the methodology used in the estimating stage. These approaches are the design-based approach, model-based approach, and model-assisted approach (Wu and sitter, 2001). The design-based approach judges estimators with reference to the sampling distribution. The model-based approach used a model for the variable of interest. If the model is not satisfied, the estimator will not be efficient. The model-assisted approach estimators are approximately (asymptotically) design unbiased irrespective of whether the working model is correct or not and are particularly efficient if the working model is correct. In this approach, inferences and the asymptotic framework are designed based on the working model, which is only used to increase efficiency. Stratification is a common technique to increase the precision of the finite population estimators (Hussein, 1999), It is suggested when it is possible to divide a heterogeneous population into homogenous subpopulations. It is useful when the data of known precision are wanted or when sampling problems differ markedly in different parts of the population (Cochran, 1977). In this paper, we consider the use of a more complex model in obtaining model-assisted estimators for stratified random samples. The proposed model calibration estimators can handle any linear or nonlinear model and reduce to the conventional calibration estimators of Deville and Samdal (1992) in the linear model case.

DOI

10.21608/mskas.2004.357893

Keywords

Stratified Random Sample, Calibration estimation, Population parameters

Authors

First Name

Mounira

Last Name

Hussein

MiddleName

-

Affiliation

كلية تجارة- جامعة المنوفية

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Orcid

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Volume

37

Article Issue

1

Related Issue

41670

Issue Date

2004-06-01

Receive Date

2024-06-02

Publish Date

2004-06-01

Page Start

17

Page End

31

Print ISSN

1110-1156

Online ISSN

2786-0078

Link

https://mskas.journals.ekb.eg/article_357893.html

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https://mskas.journals.ekb.eg/service?article_code=357893

Order

3

Type

المقالة الأصلية

Type Code

1,913

Publication Type

Journal

Publication Title

المجلة المصرية للسکان وتنظيم الأسرة

Publication Link

https://mskas.journals.ekb.eg/

MainTitle

Calibration Estimators of the Population Parameters Using Stratified Random Sample

Details

Type

Article

Created At

28 Dec 2024