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Estimating frequencies of frequencies in finite populations

Author

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  • Skinner, C.J.
  • Shlomo, N.

Abstract

Given a sample from a finite population partitioned into classes, we consider estimating the distribution of the class frequencies. We propose first to estimate certain moments of this distribution, assuming Poisson sampling with unequal inclusion probabilities, and then to adapt these estimates using modelling assumptions. A simulation study illustrates the bias-robustness of the approach to departures from these assumptions.

Suggested Citation

  • Skinner, C.J. & Shlomo, N., 2012. "Estimating frequencies of frequencies in finite populations," Statistics & Probability Letters, Elsevier, vol. 82(12), pages 2206-2212.
  • Handle: RePEc:eee:stapro:v:82:y:2012:i:12:p:2206-2212
    DOI: 10.1016/j.spl.2012.07.023
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    References listed on IDEAS

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    1. C. J. Skinner & M. J. Elliot, 2002. "A measure of disclosure risk for microdata," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(4), pages 855-867.
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