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


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).

Download

Full text not available from this repository.

Description/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.

Item Type: Article
ISSNs: 0323-3847 (print)
1521-4036 (electronic)
Keywords: capture-recapture, horvitz−thompson estimators, negative binomial regression, poisson regression, population size estimation, zero-truncated count data
Subjects: H Social Sciences > HA Statistics
H Social Sciences > HN Social history and conditions. Social problems. Social reform
Divisions: Faculty of Social and Human Sciences > Southampton Statistical Sciences Research Institute
ePrint ID: 344675
Date Deposited: 26 Oct 2012 13:46
Last Modified: 27 Mar 2014 20:26
URI: http://eprints.soton.ac.uk/id/eprint/344675

Actions (login required)

View Item View Item