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New Product-Type Estimators for the Population Mean Using Quartiles of the Auxiliary Variable

Authors: Amer Ibrahim Falah Al-Omari

Abstract:

In this paper, we suggest new product-type estimators for the population mean of the variable of interest exploiting the first or the third quartile of the auxiliary variable. We obtain mean square error equations and the bias for the estimators. We study the properties of these estimators using simple random sampling (SRS) and ranked set sampling (RSS) methods. It is found that, SRS and RSS produce approximately unbiased estimators of the population mean. However, the RSS estimators are more efficient than those obtained using SRS based on the same number of measured units for all values of the correlation coefficient.

Keywords: Product estimator, auxiliary variable, simple random sampling, extreme ranked set sampling

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1062116

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References:


[1] Cochran, W.G. (1977). Sampling Technique. 3rd edition, Wiley and Sons. New York.
[2] Jemain, A. A. and Al-Omari, A. I. (2006). Multistage median ranked set samples for estimating the population mean, Pakistan Journal of Statistics, 22(3): 195-207.
[3] McIntyre, G. A. (1952). A method for unbiased selective sampling using ranked sets, Australian Journal of Agricultural Research. 3: 385-390.
[4] Muttlak, H. A., (1997). Median ranked set sampling, Journal of Applied Statistical Sciences. 6(4): 245-255.
[5] Pandey, B.N. and Dubey, V. (1998). Modified product estimator using coefficient of variation of auxiliary variable, Assam Statistical Rev., 2(2): 64-66.
[6] Samawi. H. M. and Muttlak, H. A. (1996). Estimation of ratio using rank set sampling. The Biometrical Journal. 36(6): 753-764.
[7] Singh, H. P. and Tailor, R. (2003). Use of known correlation coefficient in estimating the finite population mean. Statistics in Transition. 6 (4): 555-560.
[8] 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.
[9] Upadhyaya, L.N. and Singh, H.P. (1999). Use of transformed auxiliary variable in estimating the finite population mean. Biometrical Journal, 41(5): 627-636.