A simulation study: new optimal estimators for population mean by using dual auxiliary information in stratified random sampling

Journal of Taibah University for Science

Muhammad Irfan¹  Maria Javed¹ 

[1] Department of Statistics, Government College University;

关键词: auxiliary variable;    bias;    mean squared error;    ranked auxiliary variable;    stratified random sampling;   

DOI  :  10.1080/16583655.2020.1752004

来源: DOAJ

【 摘 要 】

Recently, Haq et al. [A new estimator of finite population mean based on the dual use of the auxiliary information. Commun Stat Theory Methods. 2017;46(9):4425–4436] utilized the dual auxiliary information under simple random sampling only. Motivated by their idea, we initiated the dual use of auxiliary variable under a stratified random sampling scheme. Dual use of auxiliary variable consists: (1) the original auxiliary information and (2) the ranked auxiliary information. We proposed new optimal exponential-type estimators for the estimation of the finite population mean. Mathematical properties such as bias and mean squared error of the proposed estimators are derived. Monte Carlo simulation studies are included to successfully validate the theoretical results. Moreover, the applicability of the proposed estimators is highlighted through empirical interpretation with the help of a real-life data set. It is clearly identified from the numerical results that our proposed estimators are more efficient over the competitors.

【 授权许可】

Unknown