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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
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
0323-3847
Böhning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1
Böhning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1

Böhning, Dankmar (2022) On the equivalence of one-inflated zero-truncated and zero-truncated one-inflated count data likelihoods. Biometrical Journal. (doi:10.1002/bimj.202100343).

Record type: Article

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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More information

Accepted/In Press date: 1 November 2018
e-pub ahead of print date: 17 June 2019
Published date: 2 July 2022
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
ORCID for Dankmar Böhning: ORCID iD orcid.org/0000-0003-0638-7106

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Date deposited: 18 Aug 2022 17:03
Last modified: 01 Sep 2022 01:43

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