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

التفاصيل البيبلوغرافية
العنوان: Improved modified estimator for estimation of median using auxiliary information under simple random sampling
المؤلفون: Sohaib Ahmad, Saadia Masood, Abdullah Mohammed Alomair, Mohammed Ahmed Alomair
المصدر: Scientific Reports, Vol 14, Iss 1, Pp 1-11 (2024)
بيانات النشر: Nature Portfolio, 2024.
سنة النشر: 2024
المجموعة: LCC:Medicine
LCC:Science
مصطلحات موضوعية: Median estimation, Auxiliary information, Simulation, Mean square error, Efficiency, Medicine, Science
الوصف: Abstract 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.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2045-2322
74122533
Relation: https://doaj.org/toc/2045-2322
DOI: 10.1038/s41598-024-67189-1
URL الوصول: https://doaj.org/article/7412253326cf4ce191f0c5ec712ef5f9
رقم الأكسشن: edsdoj.7412253326cf4ce191f0c5ec712ef5f9
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:20452322
74122533
DOI:10.1038/s41598-024-67189-1