Advanced Search

Journal Navigation

Journal Home

Subscriptions

Archive

Contact Us

Table of Contents

Click here to sign up for SAGE Journal Email Alerts today!

Sign In to gain access to subscriptions and/or personal tools.
Statistical Modelling
This Article
Right arrow Full Text (PDF)
Right arrow References
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to Saved Citations
Right arrow Download to citation manager
Right arrow Add to My Marked Citations
Citing Articles
Right arrow Citing Articles via Google Scholar
Right arrow Citing Articles via Scopus
Google Scholar
Right arrow Articles by van der Heijden, P. G.
Right arrow Articles by van Houwelingen, H. C
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Complore   Add to Connotea   Add to Del.icio.us   Add to Digg   Add to Reddit   Add to Technorati   Add to Twitter  
What's this?

Point and interval estimation of the population size using the truncated Poisson regression model

Peter GM van der Heijden

Department of Methodology and Statistics, Utrecht University, Utrecht, The Netherlands, p.vanderHeijden{at}fss.uu.nl

Rami Bustami

Department of Methodology and Statistics, Utrecht University, Utrecht, The Netherlands

Maarten JLF Cruyff

Department of Methodology and Statistics, Utrecht University, Utrecht, The Netherlands

Godfried Engbersen

Faculty of Social Sciences, Erasmus University Rotterdam, Rotterdam, The Netherlands

Hans C van Houwelingen

Department of Medical Statistics, Leiden University Medical Center, Leiden, The Netherlands

A method is presented to derive point and interval estimates of the total number of individuals in a heterogenous Poisson population. The method is based on the Horvitz-Thompson approach. The zero-truncated Poisson regression model is fitted and results are used to obtain point and interval estimates for the total number of individuals in the population. The method is assessed by performing a simulation experiment computing coverage probabilities of Horvitz-Thompson confidence intervals for cases with different sample sizes and Poisson parameters. We illustrate our method using capture-recapture data from the police registration system providing information on illegal immigrants in four large cities in the Netherlands.

Key Words: capture-recapture • Horvitz-Thompson confidence interval • parametric bootstrap • population size estimation • truncated Poisson regression model

Statistical Modelling, Vol. 3, No. 4, 305-322 (2003)
DOI: 10.1191/1471082X03st057oa
Add to CiteULike CiteULike   Add to Complore Complore   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us   Add to Digg Digg   Add to Reddit Reddit   Add to Technorati Technorati   Add to Twitter Twitter    What's this?