Open AccessEstimation of finite population mean in presence of maximum and minimum values under systematic sampling scheme
Author(s) -
Anum Iftikhar,
Hongbo Shi,
Saddam Hussain,
Ather Qayyum,
Mahmoud El-Morshedy,
Sanaa Al-Marzouki
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022547
Subject(s) - estimator , population mean , mathematics , mean squared error , statistics , population , variable (mathematics) , standard error , sampling scheme , sample size determination , mathematical analysis , demography , sociology
Estimators for the finite population mean of the research variable are proposed in this article, employing ratio, product, and regression type estimators, all of which need just one auxiliary variable. A first-order approximation is developed for the mean squared errors of the techniques provided. It has been proven theoretically that the suggested estimators perform better than current estimators, and these theoretical conditions have been validated numerically using four data sets.