Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31598
Estimating the Population Mean by Using Stratified Double Extreme Ranked Set Sample

Authors: Mahmoud I. Syam, Kamarulzaman Ibrahim, Amer I. Al-Omari


Stratified double extreme ranked set sampling (SDERSS) method is introduced and considered for estimating the population mean. The SDERSS is compared with the simple random sampling (SRS), stratified ranked set sampling (SRSS) and stratified simple set sampling (SSRS). It is shown that the SDERSS estimator is an unbiased of the population mean and more efficient than the estimators using SRS, SRSS and SSRS when the underlying distribution of the variable of interest is symmetric or asymmetric.

Keywords: Double extreme ranked set sampling, Extreme ranked set sampling, Ranked set sampling, Stratified double extreme ranked set sampling.

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1657


[1] Al-Omari, A.I. (2011). Estimation of mean based on modified robust extreme ranked set sampling. Journal of Statistical Computation and Simulation, 81(8): 1055- 1066.
[2] Al-Omari, A.I. (2012). Ratio estimation of population mean using auxiliary information in simple random sampling and median ranked set sampling. Statistics and Probability Letters, 82(11): 1883-1990.
[3] Al-Omari, A.I. and Al-Nasser, A.D. (2011). Statistical quality control limits for the sample mean chart using robust extreme ranked set sampling. Economic Quality Control, 26: 73-89.
[4] Al-Saleh, M.F. & Al-Hadhrami, S. A. (2003). Estimation of the mean of exponential distribution using moving extremes ranked set sampling. Statistical Papers 44: 367-382.
[5] Al-Saleh, M.F. and Al-Kadiri, M. (2000). Double ranked set sampling. Statistics Probability Letters, 48, 205 - 212.
[6] Al-Saleh, M.F. and Al-Omari, A.I. (2002). Multistage ranked set sampling. Journal of Statistical Planning and Inference, 102, 273-286.
[7] Bouza, C.N. (2002) Ranked set subsampling the non response strata for estimating the difference of means. Biometrical Journal, 44:903915.
[8] Chen, Z., Bai, Z., and Sinha, B.K. (2004). Ranked set sampling: Theory and Applications. Lectures Notes in Statistics, 176. Springer, N. York
[9] Dell, T.R., and Clutter, J.L. (1972). Ranked set sampling theory with order statistics background. Biometrika, 28, 545-555.
[10] Jemain, A.A., A;-Omari, A.I. & Ibrahim, K. (2007). Multistage extreme ranked set samples for estimating the population mean. Journal of Statistical Theory and Applications 6(4): 456-471.
[11] McIntyre, G. A. (1952). A method for unbiased selective sampling using ranked sets. Australian Journal of Agricultural Research, 3, 385–390.
[12] 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.
[13] Samawi, H. M. (1996). Stratified ranked set sample. Pakistan Journal of Statistics, 12(1), 9-16.
[14] Samawi, H., Abu-Dayyeh, W., and Ahmed, S. (1996). Extreme ranked set sampling. The Biometrical Journal, 30, 577-586.
[15] Samawi, H.M. (2002). On double extreme ranked set sample with application to regression estimator. Metron. LXn. 1-2:53-66.
[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.