Investigating the use of stratified percentile ranked set sampling method for estimating the population mean

Authors

  • Amer Al-Omari

DOI:

https://doi.org/10.4067/S0716-09172011000300006

Keywords:

Simple random sampling, Ranked set sampling, Percentile ranked set sampling, Efficiency, Stratified ranked set sampling.

Abstract

Stratified percentile ranked set sampling (SPRSS) method is suggested for estimating the population mean. The SPRSS is compared with the simple random sampling (SRS), stratified simple random sampling (SSRS) and stratified ranked set sampling (SRSS). It is shown that SPRSS estimator is an unbiased estimator of the population mean of symmetric distributions and is more efficient than its counterparts using SRS, SSRS and SRSS based on the same number of measured units.

References

[1] Al-Nasser, D.A. L. ranked set sampling: a generalization procedure for robust visual sampling. Communication in Statistics-Simulation and Computation, 36: pp. 33-44, (2007).

[2] Al-Saleh, M. F. & Al-Hadhrami, S. A. Estimation of the mean of exponential distribution using moving extremes ranked set sampling. Statistical Papers, 44: pp. 367- 382, (2003).

[3] Al-Saleh, M. F. and Al-Kadiri, M. Double ranked set sampling. Statistics Probability Letters, 48: pp. 205-212, (2000).

[4] Al-Saleh, M. F. and Al-Omari, A. I. Multistage ranked set sampling. Journal of Statistical Planning and Inference, 102: pp. 273-286, (2002).

[5] Al-Omari, A. I. and Jaber, K. Percentile double ranked set sampling. Journal of Mathematics and Statistics, 4(1): pp. 60-64, (2008).

[6] Bouza, C. N. Ranked set subsampling the non response strata for estimating the difference of means. Biometrical Journal, 44: pp. 903- 915, (2002).

[7] Dell, T. R. and Clutter, J. L. Ranked set sampling theory with order statistics background. Biometrika, 28: pp. 545-555, (1972).

[8] Jemain, A. A. and Al-Omari, A. I. Double quartile ranked set samples. Pakistan Journal of Statistics, 22(3): pp. 217-228, (2006).

[9] Jemain, A. A. and Al-Omari, A. I. (2007). Multistage quartile ranked set samples. Pakistan Journal of Statistics, 23(1): pp. 11-22, (2007).

[10] McIntyre, G. A. A method for unbiased selective sampling using ranked sets. Australian Journal of Agricultural Research, 3: pp. 385-390, (1952).

[11] Muttlak, H. A. Investigating the use of quartile ranked set samples for estimating the population mean. Journal of Applied Mathematics and Computation, 146: pp. 437- 443, (2003a).

[12] Muttlak, H. A. Modified ranked set sampling methods. Pakistan Journal of Statistics, 19(3): pp. 315-323, (2003b).

[13] Ohyama, T., Doi, J., and Yanagawa, T. Estimating population characteristics by incorporating prior values in stratified random sampling/ranked set sampling. Journal of Statistical Planning and Inference, 138: pp. 4021-4032, (2008).

[14] Takahasi K. and Wakimoto, K. On unbiased estimates of the population mean based on the sample stratified by means of ordering. Annals of the Institute of Statistical Mathematics, 20: pp. 1-31, (1968).

Published

2011-12-10

How to Cite

[1]
A. Al-Omari, “Investigating the use of stratified percentile ranked set sampling method for estimating the population mean”, Proyecciones (Antofagasta, On line), vol. 30, no. 3, pp. 351-368, Dec. 2011.

Issue

Section

Artículos