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Some estimators of a finite population mean using auxiliary information. (English) Zbl 1019.62008

Summary: In sample surveys, it is usual to make use of auxiliary information to increase the precision of estimators. Two classes of estimators are suggested to estimate the population mean for the variable of interest using two auxiliary variables. Some special cases of these two classes of estimators are considered and compared using real data sets and computer simulations. It turns out that the newly suggested estimators dominate all other well-known estimators in terms of mean square error and bias. Finally we showed how to extend the two classes of estimators if more than two auxiliary variables are available.

MSC:

62D05 Sampling theory, sample surveys
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References:

[1] M.S. Ahmed, Some estimation procedure using multivariate auxiliary information in sample surveys, Ph.D. Thesis, Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh-202002, India, 1995
[2] Cochran, W.G., Sampling techniques, (1977), John Wiley & Sons New York · Zbl 0051.10707
[3] Jessen, R.J., Statistical survey techniques, (1978), John Wiley & Sons New York · Zbl 0375.62010
[4] Singh, D.; Chaudhary, F.S., Theory and analysis of sample survey design, (1986), New Age Publication New Delhi, India
[5] Srivastava, S.K., An estimator using auxiliary information in sample surveys, Calcutta statistical association bulletin, 16, 121-132, (1967)
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