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Point and interval estimation of the population size using a zero-truncated negative binomial regression model

Point and interval estimation of the population size using a zero-truncated negative binomial regression model
Point and interval estimation of the population size using a zero-truncated negative binomial regression model
This paper presents the zero-truncated negative binomial regression model to estimate the population size in the presence of a single registration file. The model is an alternative to the zero-truncated Poisson regression model and it may be useful if the data are overdispersed due to unobserved heterogeneity. Horvitz–Thompson point and interval estimates for the population size are derived, and the performance of these estimators is evaluated in a simulation study. To illustrate the model, the size of the population of opiate users in the city of Rotterdam is estimated. In comparison to the Poisson model, the zero-truncated negative binomial regression model fits these data better and yields a substantially higher population size estimate.
capture-recapture, horvitz?thompson estimators, negative binomial regression, poisson regression, population size estimation, zero-truncated count data
0323-3847
1035-1050
Cruyff, Maarten J.L.F.
7efbafcd-7831-48b4-bbea-9d95709b1235
van der Heijden, Peter G.M.
85157917-3b33-4683-81be-713f987fd612
Cruyff, Maarten J.L.F.
7efbafcd-7831-48b4-bbea-9d95709b1235
van der Heijden, Peter G.M.
85157917-3b33-4683-81be-713f987fd612

Cruyff, Maarten J.L.F. and van der Heijden, Peter G.M. (2008) Point and interval estimation of the population size using a zero-truncated negative binomial regression model. Biometrical Journal, 50 (6), 1035-1050. (doi:10.1002/bimj.200810455). (PMID:19067336)

Record type: Article

Abstract

This paper presents the zero-truncated negative binomial regression model to estimate the population size in the presence of a single registration file. The model is an alternative to the zero-truncated Poisson regression model and it may be useful if the data are overdispersed due to unobserved heterogeneity. Horvitz–Thompson point and interval estimates for the population size are derived, and the performance of these estimators is evaluated in a simulation study. To illustrate the model, the size of the population of opiate users in the city of Rotterdam is estimated. In comparison to the Poisson model, the zero-truncated negative binomial regression model fits these data better and yields a substantially higher population size estimate.

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More information

e-pub ahead of print date: 9 December 2008
Published date: December 2008
Keywords: capture-recapture, horvitz?thompson estimators, negative binomial regression, poisson regression, population size estimation, zero-truncated count data
Organisations: Statistical Sciences Research Institute

Identifiers

Local EPrints ID: 344675
URI: http://eprints.soton.ac.uk/id/eprint/344675
ISSN: 0323-3847
PURE UUID: 0fbafd3c-bda4-47bc-b6e5-49de773c113e
ORCID for Peter G.M. van der Heijden: ORCID iD orcid.org/0000-0002-3345-096X

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Date deposited: 26 Oct 2012 13:46
Last modified: 15 Mar 2024 03:46

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Author: Maarten J.L.F. Cruyff

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