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Quantiles naïve, ratio and difference estimators for efficient stratified sampling designs

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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.

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Authors and Affiliations

  1. Department of Biostatistics, Epidemiology and Environmental Health Sciences, Jiann-Ping Hsu College of Public Health, Georgia Southern University, Statesboro, GA, 30460, USA

    Haresh Rochani & Hani Samawi

  2. Department of Statistics and Analytical Sciences, Kennesaw State University, Kennesaw, GA, 30144, USA

    Xinyan Zhang

Authors
  1. Haresh Rochani
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  2. Hani Samawi
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  3. Xinyan Zhang
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Correspondence to Haresh Rochani.

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Rochani, H., Samawi, H. & Zhang, X. Quantiles naïve, ratio and difference estimators for efficient stratified sampling designs. J. Korean Stat. Soc. 51, 542–567 (2022). https://doi.org/10.1007/s42952-021-00152-2

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  • DOI: https://doi.org/10.1007/s42952-021-00152-2

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