The study considers the problem of estimating a quantile function based on different stratified sampling mechanism. First, researchers 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, the researchers 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.
“On Quantiles Estimation Based on Different Stratified Sampling with Optimal Allocation,” was recently published in Communications in Statistics – Theory and Methods.
Georgia Southern University Jiann-Ping Hsu College of Public Health biostatistics faculty, Drs. Hani Samawi (lead author), Jinging Yin, and Haresh Rochani worked with Dr. Arpita Chatterjee, Georgia Southern University mathematics department on this study.