Non-parametric Estimation of the Number of Zeros in Truncated Count Distributions

Pedro Puig, Célestin C. Kokonendji

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

Abstract

© 2017 Board of the Foundation of the Scandinavian Journal of Statistics We present some lower bounds for the probability of zero for the class of count distributions having a log-convex probability generating function, which includes compound and mixed-Poisson distributions. These lower bounds allow the construction of new non-parametric estimators of the number of unobserved zeros, which are useful for capture-recapture models, or in areas like epidemiology and literary style analysis. Some of these bounds also lead to the well-known Chao's and Turing's estimators. Several examples of application are analysed and discussed.
Original languageEnglish
Pages (from-to)347-365
JournalScandinavian Journal of Statistics
Volume45
Issue number2
DOIs
Publication statusPublished - 1 Jun 2018

Keywords

  • Chao's estimator
  • Turing's estimator
  • capture-recapture
  • population size

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