On quantiles estimation based on different stratified sampling with optimal allocation

Hani Samawi, Arpita Chatterjee, Jingjing Yin and Haresh Rochani

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 6, 1529-1544

Abstract: This work considers the problem of estimating a quantile function based on different stratified sampling mechanism. First, we develop an estimate for population quantiles based on stratified simple random sampling (SSRS) and extend the discussion for stratified ranked set sampling (SRSS). Furthermore, the asymptotic behavior of the proposed estimators are presented. In addition, we derive an analytical expression for the optimal allocation under both sampling schemes. Simulation studies are designed to examine the performance of the proposed estimators under varying distributional assumptions. The efficiency of the proposed estimates is further illustrated by analyzing a real data set from CHNS.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:48:y:2019:i:6:p:1529-1544

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DOI: 10.1080/03610926.2018.1433856

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