2023
DOI: 10.3390/axioms12060576
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An Efficient Class of Estimators in Stratified Random Sampling with an Application to Real Data

Abstract: This research article addresses an efficient separate and combined class of estimators for the population mean estimation based on stratified random sampling (StRS). The first order approximated expressions of bias and mean square error of the proposed separate and combined class of estimators are obtained. A comparative study is conducted to determine the efficiency conditions in which the suggested class of estimators outperforms the contemporary estimators. These efficiency conditions are examined through a… Show more

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Cited by 6 publications
(3 citation statements)
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“…The participants were distributed in five subdistrict areas (Banjarsari, Jebres, Pasar Kliwon, Laweyan, and Serengan). Stratified random sampling is used in this study by dividing the population into smaller, separate groups (strata) [61], [62].…”
Section: E Data Collectionmentioning
confidence: 99%
“…The participants were distributed in five subdistrict areas (Banjarsari, Jebres, Pasar Kliwon, Laweyan, and Serengan). Stratified random sampling is used in this study by dividing the population into smaller, separate groups (strata) [61], [62].…”
Section: E Data Collectionmentioning
confidence: 99%
“…In cases where the correlation coefficients between the study and auxiliary variables exhibit positivity, ratio estimators come into play. Conversely, when a negative correlation is evident, the product estimator is employed to gauge the population mean, Bhushan et al [1] . Both ratio and product type estimators leverage supplementary information to yield precise and efficient results.…”
Section: Introductionmentioning
confidence: 99%
“…Using a known coefficient of variation for the auxiliary variable, Garg and Pachori (3) suggested a new calibration estimator with a set of new calibration constraints for predicting the population mean in the stratified random sample. Later numerous authors, such as Zaman and Kadilar (4) ; Iftikhar et al (5) ; Muneer et al (6) ; Husain et al (7) ; Cekim and Kadilar, (8) ; Zaman (9) ; Singh and Nigam (10) and Bhushan et al (11) Kumar and Tiwari et al (12) ; Babatunde et al (13) ; Singh et al (14) ; Ahmad et al (15) and Bhushan et al (16) employed several well-known auxiliary variable parameters, including the variance and kurtosis coefficients, as well as a measure of the correlation in stratified random sampling between the auxiliary variable and the study variable. Koc and Koc (17) examined a novel class of estimators for finite population mean in stratified random sampling that is based on quantile regression ratios.…”
Section: Introductionmentioning
confidence: 99%