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SUMMARY A simple procedure of unequal probability sampling without replacement is proposed. It leads to an estimator of the population total having a smaller variance than is obtained by sampling with replacement. Other advantages of the present method are simplicity of calculation and the possibility of estimating exactly the variance of the estimator.
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J. N. K. Rao
University of California, Los Angeles
H. O. Hartley
Medical University of South Carolina
W. G. Cochran
Louisiana State University
Journal of the Royal Statistical Society Series B (Statistical Methodology)
Harvard University Press
Iowa State University
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Rao et al. (Sun,) studied this question.
synapsesocial.com/papers/6a15556d5347fbb1739f9d15 — DOI: https://doi.org/10.1111/j.2517-6161.1962.tb00475.x