On the equivalence of one-inflated zero-truncated and zero-truncated one-inflated count data likelihoods
On the equivalence of one-inflated zero-truncated and zero-truncated one-inflated count data likelihoods
One-inflation in zero-truncated count data has recently found considerable attention. There are currently two views in the literature. In the first approach, the untruncated model is considered as one-inflated whereas in the second approach the truncated model is viewed as one-inflated. Here, we show that both models have identical model spaces as well as identical maximum likelihoods. Consequences of population size estimation are illuminated, and the findings are illustrated at hand of two case studies.
capture–recapture, inflation of singletons, one-inflation, population size estimation, zero-truncation
Böhning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1
15 August 2023
Böhning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1
Böhning, Dankmar
(2023)
On the equivalence of one-inflated zero-truncated and zero-truncated one-inflated count data likelihoods.
Biometrical Journal, 65 (2), [2100343].
(doi:10.1002/bimj.202100343).
Abstract
One-inflation in zero-truncated count data has recently found considerable attention. There are currently two views in the literature. In the first approach, the untruncated model is considered as one-inflated whereas in the second approach the truncated model is viewed as one-inflated. Here, we show that both models have identical model spaces as well as identical maximum likelihoods. Consequences of population size estimation are illuminated, and the findings are illustrated at hand of two case studies.
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one_inflationR2
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Biometrical J - 2022 - B hning - On the equivalence of one‐inflated zero‐truncated and zero‐truncated one‐inflated count
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Accepted/In Press date: 2 July 2022
Published date: 15 August 2023
Keywords:
capture–recapture, inflation of singletons, one-inflation, population size estimation, zero-truncation
Identifiers
Local EPrints ID: 468611
URI: http://eprints.soton.ac.uk/id/eprint/468611
ISSN: 0323-3847
PURE UUID: 2e4472c7-bad3-43f3-a4c5-881b62feb441
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Date deposited: 18 Aug 2022 17:03
Last modified: 17 Mar 2024 03:25
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