Open AccessSome Improved Estimators of Population Mean using Two-Phase Sampling Scheme in the Presence of Non-Response
Author(s) -
Manoj Kumar Chaudhary,
Amit Kumar,
Gautam K. Vishwakarma
Publication year - 2021
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v17i4.2505
Subject(s) - estimator , mathematics , population mean , mean squared error , statistics , variable (mathematics) , population , sampling (signal processing) , computer science , mathematical analysis , demography , filter (signal processing) , sociology , computer vision
In the present paper, we have proposed some improved estimators of the population mean utilizing the information on two auxiliary variables adopting the idea of two-phase sampling under non-response. In order to propose the estimators, we have assumed that the study variable and first auxiliary variable suffer from non-response while the second (additional) auxiliary variable is free from non-response. We have derived the expressions for biases and mean square errors of the proposed estimators and compared them with that of usual estimator and some well known existing estimators of the population mean. The theoretical results have also been illustrated with some empirical data.