Estimation of population median using bivariate auxiliary information in simple random sampling

Hussain, Muhammad Ali; Javed, Maria; Zohaib, Muhammad; Shongwe, Sandile C.; Awais, Muhammad; Zaagan, Abdullah A.; Irfan, Muhammad

doi:10.1016/j.heliyon.2024.e28891

Heliyon

2024

DOI: 10.1016/j.heliyon.2024.e28891

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Estimation of population median using bivariate auxiliary information in simple random sampling

Muhammad Ali Hussain,

Maria Javed,

Muhammad Zohaib

et al.

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2024

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Improved modified estimator for estimation of median using auxiliary information under simple random sampling

Ahmad,

Masood,

Alomair

et al. 2024

Sci Rep

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This article aims to suggest an improved estimator for estimation of population median using auxiliary information under simple random sampling. The expression for the bias and mean square error are obtained up to first order approximation. We determine the MLE of the optimal values of the describing scalars. The proficiency of the suggested estimator is evaluated in comparison to the preliminary estimators using the MSE threshold. The suggested estimators are compared numerically to the ones that are currently studied in this study. The performance and novelty of the estimators was evaluated using real data sets and a simulation study. To check the efficiency of estimators empirical and theoretical study has been studied. Based on numerical result it is to be noted that our suggested estimator is more efficient as compared to existing estimators which is considered in this article in terms of least MSE and greater PRE.

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Improved modified estimator for estimation of median using auxiliary information under simple random sampling

Ahmad,

Masood,

Alomair

et al. 2024

Sci Rep

View full text Add to dashboard Cite

show abstract

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Estimation of population median using bivariate auxiliary information in simple random sampling

Cited by 1 publication

References 20 publications

Improved modified estimator for estimation of median using auxiliary information under simple random sampling

Improved modified estimator for estimation of median using auxiliary information under simple random sampling

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