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
1035-1050
Cruyff, Maarten J.L.F.
7efbafcd-7831-48b4-bbea-9d95709b1235
van der Heijden, Peter G.M.
85157917-3b33-4683-81be-713f987fd612
December 2008
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), .
(doi:10.1002/bimj.200810455).
(PMID:19067336)
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.
This record has no associated files available for download.
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
Catalogue record
Date deposited: 26 Oct 2012 13:46
Last modified: 15 Mar 2024 03:46
Export record
Altmetrics
Contributors
Author:
Maarten J.L.F. Cruyff
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
