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Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 6

EFFICIENT FAMILY OF EXPONENTIAL ESTIMATORS FOR THE POPULATION MEAN

Subhash Kumar and Cem YADAV KADİLAR
Pages
671–677
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

An improvement has been shown overthe family of estimators of Singh et al. [10] through an empirical study.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper deals with the estimation of the population mean with im—proved family of exponential estimators for the variable under studyusing some known population parameters of the auxiliary variable.
📊
Key Findings & Data:Theexpressions for the bias and mean square error (MSE) of the estimatorsof the proposed family have been derived to the first degree of approx—imation. comparison has been made with the exponential family ofestimators of Singh et al. [10].
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Conclusion & Impact:An improvement has been shown overthe family of estimators of Singh et al. [10] through an empirical study.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This paper deals with the estimation of the population mean with im—proved family of exponential estimators for the variable under studyusing some known population parameters of the auxiliary variable. Theexpressions for the bias and mean square error (MSE) of the estimatorsof the proposed family have been derived to the first degree of approx—imation. comparison has been made with the exponential family ofestimators of Singh et al. [10]. An improvement has been shown overthe family of estimators of Singh et al. [10] through an empirical study.

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Cite This Article

KADİLAR, S. K. A. C. Y. (2022). EFFICIENT FAMILY OF EXPONENTIAL ESTIMATORS FOR THE POPULATION MEAN. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 6, 671–677. https://ajindex.com/articles/530448

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References (12)

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