Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 43 Issue: 3

A general class of estimators for the population mean using multi-phase sampling with the non-respondents

Saba Riaz(DEPARTMENT OF STATISTICS, QUAID-I-AZAM UNIVERSITY)
Giancarlo Diana(DEPARTMENT OF STATISTICAL SCIENCES, UNIVERSITY OF PADOVA)
Javid Shabbir(DEPARTMENT OF STATISTICS, QUAID-I-AZAM UNIVERSITY)
Pages
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Publication Date
2014-06-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It is shown that the proposed class of estimators is more efficient than [13] and [17] classes of estimators

📌 3 Key Takeaways

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Objective & Hypothesis:This paper addresses the problem of non-response when estimating the population mean of the variable of interest.
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Key Findings & Data:A general class of estimators is suggested for the unknown population mean of the study variable.
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Conclusion & Impact:It is shown that the proposed class of estimators is more efficient than [13] and [17] classes of estimators
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Auxiliary information · Multi-phase sampling · Non-response

Abstract

This paper addresses the problem of non-response when estimating the population mean of the variable of interest. A general class of estimators is suggested for the unknown population mean of the study variable. Two vectors of the auxiliary information under multi-phase sampling scheme are used in presence of non response. The asymptotic variance of the proposed class is determined and compared with some other existing estimators theoretically and numerically. It is shown that the proposed class of estimators is more efficient than [13] and [17] classes of estimators

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Cite This Article

Riaz, S., Diana, G., Shabbir, J. (2014). A general class of estimators for the population mean using multi-phase sampling with the non-respondents. Hacettepe Journal of Mathematics and Statistics, Volume: 43 Issue: 3. https://ajindex.com/articles/1403404

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