On the equivalence of one-inflated zero-truncated and zero-truncated one-inflated count data likelihoods

DOI10.1002/BIMJ.202100343zbMATH Open1539.62315MaRDI QIDQ6550305

Dankmar Böhning

Publication date: 5 June 2024

Published in: Biometrical Journal (Search for Journal in Brave)

zbMATH Keywords

capture-recapturezero-truncationpopulation size estimationone-inflationinflation of singletons

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10)

Cites Work

• Population size estimation based upon zero-truncated, one-inflated and sparse count data. Estimating the number of dice snakes in Graz and flare stars in the Pleiades
• General flation models for count data
• A modification of Chao's lower bound estimator in the case of one-inflation
• The identity of the zero-truncated, one-inflated likelihood and the zero-one-truncated likelihood for general count densities with an application to drink-driving in Britain
• One-inflation and unobserved heterogeneity in population size estimation
• The one‐inflated positive Poisson mixture model for use in population size estimation
• Estimation of the population size by using the one-inflated positive Poisson model

Related Items (2)

Generally altered, inflated, truncated and deflated regression ⋮ One-inflation and zero-truncation count data modelling revisited with a view on Horvitz-Thompson estimation of population size

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