Investigating the Efficiency of Stratified Double Median Ranked Set Sample for Estimating the Population Mean
Authors: Mahmoud I. Syam
Stratified double median ranked set sampling (SDMRSS) method is suggested for estimating the population mean. The SDMRSS is compared with the simple random sampling (SRS), stratified simple random sampling (SSRS), and stratified ranked set sampling (SRSS). It is shown that SDMRSS estimator is an unbiased of the population mean and more efficient than SRS, SSRS, and SRSS. Also, by SDMRSS, we can increase the efficiency of mean estimator for specific value of the sample size. SDMRSS is applied on real life examples, and the results of the example agreed the theoretical results.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1127222Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 719
 Al-Saleh, M.F. and Al-Kadiri, M. (2000). Double ranked set sampling. Statistics Probability Letters, 48, 205 - 212.
 Al-Saleh, M.F. and Al-Omari, A.I. (2002). Multistage ranked set sampling. Journal of Statistical Planning and Inference, 102, 273-286.
 Bouza, C.N. (2002) Ranked set subsampling the non-response strata for estimating the difference of means. Biometrical Journal, 44:903915.
 Dell, T.R., and Clutter, J.L. (1972). Ranked set sampling theory with order statistics background. Biometrika, 28, 545-555.
 Jemain, A.A. & Al-Omari, A.I. (2006). Double quartile ranked set samples. Pakistan Journal of Statistics. 22(3): 217-228.
 McIntyre, G. A. (1952). A method for unbiased selective sampling using ranked sets. Australian Journal of Agricultural Research. 3, 385–390.
 Muttlak, H.A. (1997). Median ranked set sampling, J. App. Statist. Sci. 6(4), 577-586.
 Ohyama, T., Doi, J., and Yanagawa, T. (2008). Estimating population characteristics by incorporating prior values in stratified random sampling/ranked set sampling. Journal of Statistical Planning and Inference, 138, 4021-4032.
 Samawi, H. M. (1996). Stratified ranked set sample. Vol. 12(1) pp. 9 – 16.
 Takahasi K. and Wakimoto, K. (1968). On unbiased estimates of the population mean based on the sample stratified by means of ordering. Annals of the Institute of Statistical Mathematics, 20, 1–31.