Open AccessThe Influence of Measurement Errors on Generalized Estimator of Population Mean
Author(s) -
Ikechukwu Boniface Okafor,
Onyeka Aloysius Chijioke,
Chukwudi Justin Ogbonna,
Izunobi Chinyeaka Hostensia,
Kiwu Lawrence Chizoba
Publication year - 2022
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2022/v16i430418
Subject(s) - estimator , mean squared error , mathematics , bias of an estimator , efficient estimator , statistics , uncorrelated , consistent estimator , minimum variance unbiased estimator , population mean , stein's unbiased risk estimate , population , efficiency , invariant estimator , trimmed estimator , minimax estimator , demography , sociology
This paper proposed a generalized estimator of population mean in the presence of correlated and uncorrelated measurement errors under simple random strategy. Some known estimators belong to this class of proposed estimator. Under the large sample approximation, the properties of the proposed estimator namely bias and mean squared error were obtained. Theoretical comparison was carried out on the members of the proposed class of estimators when measurement errors are correlated and when they are uncorrelated and the necessary conditions under which the proposed estimator at its optimum value is expected to be more efficient than the existing estimators of finite population mean were obtained. It was observed that correlated and uncorrelated measurement errors inflate the bias and mean squared error of the proposed estimator. The paper concluded that the proposed estimator is more efficient than usual unbiased estimator and some members of the class of proposed estimator.