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The study deals with the concept of Ranked Set Sampling (RSS) as an effective measure to find out the mean of the population when a sample of small size can be found without measuring or with other methods like ranking. This study has introduced modified ratio and product estimators to see the population mean under ranked set sampling and compare them with the existing ones in terms of Mean Square Error (MSE) and efficiency. The proposed estimators are better than the existing estimators like the mean per unit estimator, ratio estimator, and product estimator in ranked set sampling. Two tables are used to show the comparison between the proposed estimator and the existing estimators by using bivariate normal distribution. Empirical studies using simulations further validate the effectiveness of these new estimators, suggesting their potential for broader application in statistical analysis.
Keywords:
Estimators, Population, Mean Square Error, Efficiency, Ranked Set Sampling
Cite Article:
"New Ratio and Product Type Estimators for Population Mean Under Ranked Set Sampling ", International Journal of Science & Engineering Development Research (www.ijrti.org), ISSN:2455-2631, Vol.10, Issue 1, page no.a523-a531, January-2025, Available :http://www.ijrti.org/papers/IJRTI2501064.pdf
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ISSN:
2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator