Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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An Optimal Scheme of Inclusion Probability Proportional to Size Sampling

  • Published : 2005.04.01
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Abstract

This paper suggest a method of inclusion probability proportional to size sampling that provides a non-negative and stable variance estimator. The sampling procedure is quite simple and flexible since a sampling design is easily obtained using mathematical programming. This scheme appears to be preferable to Nigam, Kumar and Gupta's (1984) method which uses a balanced incomplete block designs. A comparison is made with their method through an example in the literature.

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References

  1. Brewer, K. R. W. and Hanif, M. (1983). Sampling with unequal probabilities, New York: Springer- Verlag
  2. Horvitz, D. G. and Thompson, D. J. (1952). A generalization of sampling without replacement from a finite universe, Journal of the American Statistical Association, Vol. 47, 663-685 https://doi.org/10.2307/2280784
  3. Jessen R. J. (1969). Some methods of probability non-replacement sampling, The Journal of the American Statistical Association, Vol. 64, 175-193 https://doi.org/10.2307/2283727
  4. Nigam, A. K., Kumar, P. and Gupta, V. K. (1984). Some methods of inclusion probability proportional to size sampling, Journal of the Royal Statistical Society, Series B, Vol. 46, 564-571
  5. Rao, J. N. K. and Nigam, A. K. (1992). Optimal controlled sampling: a unified approach, International Statistical Review, Vol. 60, 89-98 https://doi.org/10.2307/1403503
  6. Sen, A. R. (1953). On the estimate of variance in sampling with varying probabilities, Journal of the Indian Society of Agricultural Statistics, Vol. 5, 119-127
  7. Yates, F. and Grundy, P. M. (1953). Selection without replacement from within strata and with probability proportional to size, Journal of the Royal Statistical Society, Series B, Vol. 15, 253-261