Open AccessEstimation of finite population mean using dual auxiliary variable for non-response using simple random sampling
Author(s) -
Sohaib Ahmad,
AUTHOR_ID,
Sardar Hussain,
Muhammad Aamir,
Faridoon Khan,
Mohammed Nasser Alshahrani,
Mohammed Alqawba,
AUTHOR_ID,
AUTHOR_ID,
AUTHOR_ID,
AUTHOR_ID
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.2022256
Subject(s) - estimator , population mean , simple random sample , mathematics , statistics , mean squared error , simple (philosophy) , population , rank (graph theory) , random variable , sampling (signal processing) , variable (mathematics) , computer science , combinatorics , philosophy , demography , epistemology , filter (signal processing) , sociology , computer vision , mathematical analysis
This paper addresses the issue of estimating the population mean for non-response using simple random sampling. A new family of estimators is proposed for estimating the population mean with auxiliary information on the sample mean and the rank of the auxiliary variable. Bias and mean square errors of existing and proposed estimators are obtained using the first order of measurement. Theoretical comparisons are made of the performance of the proposed and existing estimators. We show that the proposed family of estimators is more efficient than existing estimators in the literature under the given constraints using these theoretical comparisons.