On Quantiles Estimation Based on Different Stratified Sampling with Optimal Allocation

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Citation

Samawi, Hani; Chatterjee, Arpita; Yin, Jingjing; & Rochani, Haresh (2019). On Quantiles Estimation Based on Different Stratified Sampling with Optimal Allocation. Communications in Statistics - Theory and Methods, 48, 1529-44.

Abstract

ABSTRACTThis 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.

URL

https://doi.org/10.1080/03610926.2018.1433856

Reference Type

Journal Article

Year Published

2019

Journal Title

Communications in Statistics - Theory and Methods

Author(s)

Samawi, Hani
Chatterjee, Arpita
Yin, Jingjing
Rochani, Haresh