Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 6

Unbiased ratio estimators of the mean in stratified ranked set sampling

Pages
1151–1158
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

In simulation study the proposed estimators are more efficient as compared to other competitor estimators using Percentage Relative Efficiency (PRE), Percentage Relative Bias (PRB) and Percentage Relative Root Mean Square Error (PRRMSE).

📌 3 Key Takeaways

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Objective & Hypothesis:Stratified ranked set sampling (StRSS) combines the advantages of stratification and ranked set sampling (RSS).
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Key Findings & Data:In this paper, we propose several unbiased ratio type estimators using StRSS, when population mean of the auxiliary variable is known.
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Conclusion & Impact:In simulation study the proposed estimators are more efficient as compared to other competitor estimators using Percentage Relative Efficiency (PRE), Percentage Relative Bias (PRB) and Percentage Relative Root Mean Square Error (PRRMSE).
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Stratified ranked set sampling · ratio estimators · relative efficiency

Abstract

Stratified ranked set sampling (StRSS) combines the advantages of stratification and ranked set sampling (RSS). In this paper, we propose several unbiased ratio type estimators using StRSS, when population mean of the auxiliary variable is known. The variances of the proposedunbiased ratio-type estimators are obtained to first degree of approximation. In simulation study the proposed estimators are more efficient as compared to other competitor estimators using Percentage Relative Efficiency (PRE), Percentage Relative Bias (PRB) and Percentage Relative Root Mean Square Error (PRRMSE).

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Cite This Article

GUPTA, S., SHABBİR, J., KHAN, L. (2022). Unbiased ratio estimators of the mean in stratified ranked set sampling. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 6, 1151–1158. https://ajindex.com/articles/529976

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