Estimating frequencies of frequencies in finite populations

C. J. Skinner, N. Shlomo

Research output: Contribution to journalArticlepeer-review


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. © 2012 Elsevier B.V..
Original languageEnglish
Pages (from-to)2206-2212
Number of pages6
JournalStatistics and Probability Letters
Issue number12
Publication statusPublished - Dec 2012


  • Negative binomial
  • Poisson sampling
  • Survey sampling


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