Open AccessOn A Method of Bias Reduction in the Product Method of Estimation
Author(s) -
Ranjan Kumar Sahoo,
Ajit Kumar Sabat,
L. N. Sahoo
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/v16i330403
Subject(s) - estimator , mean squared error , bivariate analysis , mathematics , statistics , bias of an estimator , product (mathematics) , population , stein's unbiased risk estimate , efficient estimator , minimum variance unbiased estimator , econometrics , geometry , demography , sociology
In this paper, we focused our attention on the creation of an almost unbiased predictive product estimator after estimating and correcting bias of the classical product estimator under predictive approach. Considering mean square error as the performance measure, superiority of the proposed estimator has been analyzed compared to the classical product estimator and Robson’s [1] unbiased product estimator under (i) a finite population set-up, (ii) an infinite population set-up assuming bivariate normal distribution between the variables, and (iii) the assumption of a super-population model.