Abstract
In this paper a preliminary test regression estimator for estimating the population mean of study variable Y is suggested for the two-stage sampling using ranked set sampling in the second stage when there is partial information on both of the two auxiliary variables X and Z. The variables (X, Y, Z) are considered to follow a trivariate normal distribution. Bias and mean square error of the proposed estimator are computed and comparison is made with the usual regression estimator under the same sampling scheme with two auxiliary variables analytically and numerically.
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Yanglem, W., Khongji, P. Preliminary Test Regression Estimator in Double Sampling Based on Two-Stage and Ranked Set Sampling with Two Auxiliary Variables. J Indian Soc Probab Stat 24, 55–63 (2023). https://doi.org/10.1007/s41096-022-00144-3
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DOI: https://doi.org/10.1007/s41096-022-00144-3