Quantiles Naïve, Ratio and Difference Estimators for Efficient Stratified Sampling Designs
Document Type
Article
Publication Date
10-10-2021
Publication Title
Journal of the Korean Statistical Society
DOI
10.1007/s42952-021-00152-2
Abstract
This paper proposes and investigates the bivariate, the marginal distribution functions and quantiles estimators and their asymptotic properties for naïve, ratio, and difference estimators based on the bivariate stratified simple random sampling (BVSSRS) and bivariate stratified ranked set sampling designs (BVSRSS). We demonstrate that the proposed estimators using BVSRSS and BVSSRS are consistent and asymptotically normally distributed. Improved performance of the proposed estimators using BVSRSS compared to BVSSRS supported through an intensive simulation study. The derivation of the optimal allocation based on BVSSRS and BVSRSS is provided. The National Health and Nutrition Examination Survey (NHANES) data is used to illustrate the methods.
Recommended Citation
Rochani, Haresh, Hani W. Samawi, Xinyan Zhang.
2021.
"Quantiles Naïve, Ratio and Difference Estimators for Efficient Stratified Sampling Designs."
Journal of the Korean Statistical Society, 51: 542-567: Springer.
doi: 10.1007/s42952-021-00152-2
https://digitalcommons.georgiasouthern.edu/bee-facpubs/370
Copyright
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Comments
Georgia Southern University faculty member, Haresh Rochani and Hani Samawi co-authored Quantiles Naïve, Ratio and Difference Estimators for Efficient Stratified Sampling Designs.