Exploring the dependability of Combined Ratio Estimators in Stratified Ranked Set Sampling: Insights from COVID-19 data

Triveni, G.R.V.; Danish, Faizan

doi:10.1016/j.aej.2024.02.051

Cited by 2 publications

(3 citation statements)

References 19 publications

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“…The derived conditions are available in Equations ( 22)- (27). Data Set-I is taken from [35], and the numerical study is presented in Section 6. From Table 3, we can observe the results; the proposed estimator Fstp (y) Outperform other estimators in terms of MSE and PRE.…”

Section: Resultsmentioning

confidence: 99%

“…Later, ref. [35] proposed a log-type estimator in stratified ranked set sampling. A new approach to the mean estimators in ranked set sampling was introduced by [36].…”

Section: Introductionmentioning

confidence: 99%

“…From Equations ( 21) and ( 12), Data Set-I: We have used the data from [35] to evaluate the suggested estimator's relative effectiveness. The data consist of six strata.…”

mentioning

confidence: 99%

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Advancing Survey Sampling Efficiency under Stratified Random Sampling and Post-Stratification: Leveraging Symmetry for Enhanced Estimation Accuracy in the Prediction of Exam Scores

Triveni,

Danish,

Albalawi

2024

Symmetry

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This pioneering investigation introduces two innovative estimators crafted to evaluate the finite population distribution function of a study variable, employing auxiliary variables within the framework of stratified random sampling and post-stratification while emphasizing symmetry in the sampling process. The derivation of mathematical expressions for bias and the mean square error up to the first degree of approximation fortifies the credibility of the proposed estimators. Drawing from three distinct datasets, including real-world data capturing student behaviors and exam performances from 500 students, this research highlights the superior efficiency of the proposed estimators compared to existing methods across both sampling schemes. Employing the proposed estimator, we effectively forecast students’ exam scores based on their study hours, backed by empirical evidence showcasing its precision in terms of mean square error and percentage relative efficiency. This study not only introduces inventive solutions to enduring challenges in survey sampling but also provides practical insights into enhancing predictive accuracy in educational assessments.

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Section: Resultsmentioning

confidence: 99%

“…Later, ref. [35] proposed a log-type estimator in stratified ranked set sampling. A new approach to the mean estimators in ranked set sampling was introduced by [36].…”

Section: Introductionmentioning

confidence: 99%