Open AccessDexterous Estimation of Population Mean in Survey Sampling Under Non-Response Error
Author(s) -
Subhash Kumar Yadav,
Om Prakash Yadav,
Dharmendra Kumar Yadav
Publication year - 2019
Publication title -
international journal of mathematical, engineering and management sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 10
ISSN - 2455-7749
DOI - 10.33889/ijmems.2019.4.6-103
Subject(s) - estimator , population mean , statistics , population , mathematics , variable (mathematics) , estimation , variables , sampling (signal processing) , mean squared error , computer science , engineering , demography , systems engineering , filter (signal processing) , sociology , computer vision , mathematical analysis
In this scripture, we ponder the problem of efficient estimation of population mean of study variable utilizing information on highly correlated auxiliary variables under the presence of non-response on either of the variables. For this purpose, we suggest, an improved estimator under three different situations of non-response. Under the first situation, estimation of population mean is done with the problem of non-response on both the study and the auxiliary variables with the additional condition that the population means of the auxiliary variables are known. The second situation is to estimate the population mean of primary variable when the problem of non-response is only on the primary variable but the population means of the auxiliary variables are known while under the third situation estimation is performed with the problem of non-response on both the study and the auxiliary variables but population mean of one of the auxiliary variables is unknown. We study the sampling properties of the suggested estimator under above three different situations of non-response. We compare the proposed estimator with the competing estimators of population mean, under three different situations of non-response. The efficiency conditions are obtained for all three situations. A numerical study is also carried out to verify the efficiency conditions.