Abstract
In this article we propose improved ratio-type estimators for estimating the finite population mean (Ȳ) under stratified double-ranked set sampling (S t DRSS) using the auxiliary information. The biases and mean squared errors (MSE) of the proposed ratio-type estimators are derived up to first order of approximation. The proposed estimators are compared with some competitor estimators both theoretically and numerically. It is identified through numerical and simulation studies that the proposed ratio-type estimators based on S t DRSS are more efficient than the corresponding estimators in stratified ranked set sampling (S t RSS) given by Mandowara and Mehta.
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References
Al-Omari, A. I. 2012. Ratio estimation of the population mean using auxiliary information in simple random sampling and median ranked set sampling. Statistics & Probability Letters 82 (11):1883–90.
Al-Omari, A. I., and J. Khalifa. 2010. Improvement in estimating the population mean in double extreme ranked set sampling. International Mathematical Forum 5 (26):1265–75.
Al-Saleh, M. F., and M. A. Al-Kadiri. 2000. Double-ranked set sampling. Statistics & Probability Letters 48 (2):205–12.
Kadilar, C., and H. Cingi. 2003. Ratio estimators in stratified random sampling. Biometrical Journal 45 (2):218–25.
Khan, L., and J. Shabbir. 2016a. A class of Hartley–Ross type unbiased estimators for population mean using ranked set sampling. Hacettepe Journal of Mathematics and Statistics 45 (3):917–28.
Khan, L., and J. Shabbir. 2016b. Hartley–Ross type unbiased estimators using ranked set sampling and stratified ranked set sampling. North Carolina Journal of Mathematics and Statistics 2:10–22.
Khan, L., J. Shabbir, and S. Gupta. 2016. Unbiased ratio estimators of the mean in stratified ranked set sampling. Hacettepe Journal of Mathematics and Statistics. doi:10.15672/HJMS.20156210579.
Mandowara, V. L., and N. Mehta. 2014. Modified ratio estimators using stratified ranked set sampling. Hacettepe Journal of Mathematics and Statistics 43 (3):461–71.
McIntyre, G. 1952. A method for unbiased selective sampling, using ranked sets. Crop and Pasture Science 3 (4):385–90.
Samawi, H. M. 1996. Stratified ranked set sample. Pakistan Journal of Statistics 12 (1):9–16.
Samawi, H. M., and H. A. Muttlak. 1996. Estimation of ratio using ranked set sampling. Biometrical Journal 38 (6):753–64.
Samawi, H. M., and M. I. Siam. 2003. Ratio estimation using stratified ranked set sample. Metron 61 (1):75–90.
Singh, S. 2003. Advanced sampling theory with application—How Michael selected Amy, Vol. 2. Netherlands: Springer Science & Business Media.
Sisodia, B. V. S., and V. K. Dwivedi. 1981. A modified ratio estimator using coefficient of variation of auxiliary variable. Journal of the Indian Society of Agricultural Statistics 61:13–18.
Syam, M., K. Ibrahim, and A. I. Al-Omari. 2014. Stratified double quartile ranked set samples. Journal of Mathematics and System Science 4 (1):49–55.
Upadhyaya, L. N., and H. P. Singh. 1999. Use of transformed auxiliary variable in estimating the finite population mean. Biometrical Journal 41 (5):627–36.
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Khan, L., Shabbir, J. & Gupta, S. Improved ratio-type estimators using stratified double-ranked set sampling. J Stat Theory Pract 10, 755–767 (2016). https://doi.org/10.1080/15598608.2016.1219685
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DOI: https://doi.org/10.1080/15598608.2016.1219685
Keywords
- Stratified ranked set sampling
- mean squared error
- ratio-type estimators
- stratified double-ranked set sampling