On Quantiles Estimation Based on Different Stratified Sampling with Optimal Allocation
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(6), 1529-44.
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(6), 1529-44.
2920.ris
—
Octet Stream,
1 kB (1,084 bytes)
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.
JOUR
Samawi, Hani
Chatterjee, Arpita
Yin, Jingjing
Rochani, Haresh
2019
Communications in Statistics - Theory and Methods
48
6
1529-44
2920