Open AccessA general class of estimators on estimating population mean using the auxiliary proportions under simple and two phase sampling
Author(s) -
Xuechen Liu,
Muhammad Arslan,
Taiyuan Economics
Publication year - 2021
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.2021790
Subject(s) - estimator , mathematics , population mean , simple (philosophy) , mean squared error , class (philosophy) , population , phase (matter) , statistics , computer science , physics , artificial intelligence , philosophy , demography , epistemology , sociology , quantum mechanics
This article deals with estimation of finite population mean using the auxiliary proportion under simple and two phase sampling scheme utilizing two auxiliary variables. Mathematical expressions for the mean squared errors of the proposed estimators are derived under first order of approximation. We compare the proposed class of estimators "theoretically and numerically" with the usual mean estimator of Naik and Gupta [ 1 ] . The theoretical as well as numerical findings support the superiority of our proposed class of estimator as compared to estimators available in literature.