People born in the Middle East but residing in the Netherlands: Invariant population size estimates and the role of active and passive covariates

Annals of Applied Statistics

Volumn 6, Issue 3, 2012, Pages 831-852

  van der Heijden, Peter G M ^a   Whittaker, Joe ^b   Cruyff, Maarten ^a   Bakker, Bart ^c   van der Vliet, R ^c  

^a UTRECHT UNIVERSITY   (Netherlands)

^b LANCASTER UNIVERSITY   (United Kingdom)

^c STATISTICS NETHERLANDS   (Netherlands)

Author keywords

Capture recapture; Collapsibility; Missing data; Multiple record systems estimation; Population size estimation; Structural zeros

Indexed keywords

EID: 84870025638     PISSN: 19326157     EISSN: 19417330     Source Type: Journal    
DOI: 10.1214/12-AOAS536     Document Type: Article

References (25)

1. ASMUSSEN, S. and EDWARDS, D. (1983). Collapsibility and response variables in contingency tables. Biometrika 70 567-578. MR0725370
2. BAKER, S. (1990). A simple EM algorithm for capture-recapture data with categorical covariates (with discussion). Biometrics 46 1193-1197.
3. BARTOLUCCI, F. and FORCINA, A. (2001). Analysis of capture-recapture data with a Rasch-type model allowing for conditional dependence and multidimensionality. Biometrics 57 714-719. MR1859808
4. BISHOP, Y. M. M., FIENBERG, S. E. and HOLLAND, P. W. (1975). Discrete Multivariate Analysis: Theory and Practice. The MIT Press, Cambridge, MA. MR0381130
5. BUCKLAND, S. and GARTHWIRE, P. (1991). Quantifying precision of mark-recapture estimates using the bootstrap and related methods. Biometrics 47 255-268.
6. CHAO, A., TSAY, P. K., LIN, S. H., SHAU, W. Y. and CHAO, D. Y. (2001). The applications of capture-recapture models to epidemiological data. Stat. Med. 20 3123-3157.
7. CORMACK, R. (1989). Log-linear models for capture-recapture. Biometrics 45 395-413.
8. FIENBERG, S. E. (1972). The multiple recapture census for closed populations and incomplete 2k contingency tables. Biometrika 59 591-603. MR0383619
9. FIENBERG, S., JOHNSON, M. and JUNKER, B. (1999). Classical multilevel and Bayesian approaches to population size estimation using multiple lists. J. Roy. Statist. Soc. Ser. A 162 383-406.
10. HESSEN, D. J. (2011). Loglinear representations of multivariate Bernoulli Rasch models. British J. Math. Statist. Psych. 64 337-354. MR2816783
11. HICKMAN, L. J. and SUTTORP, M. J. (2008). Are deportable aliens a unique threat to public safety? Comparing the recidivism of deportable and nondeportable aliens. Crime and Public Policy 7 59-82.
12. IWGDMF: INTERNATIONAL WORKING GROUP FOR DISEASE MONITORING AND FORECASTING (1995). Capture-recapture and multiple record systems estimation. Part i. History and theoretical development. American Journal of Epidemiology 142 1059-1068.
13. KIM, S.-H. and KIM, S.-H. (2006). A note on collapsibility in DAG models of contingency tables. Scand. J. Stat. 33 575-590. MR2298066
14. LITTLE, R. J. A. and RUBIN, D. B. (1987). Statistical Analysis with Missing Data. Wiley, New York. MR0890519
15. MENG, X. L. and RUBIN, D. B. (1991). IPF for contingency tables with missing data via the ECM algorithm. In Proceedings of the Statistical Computing Section of the American Statistical Association 244-247. Amer. Statist. Assoc., Washington, DC.
16. POLLOCK, K. H. (2002). The use of auxiliary variables in capture-recapture modelling: An overview. J. Appl. Stat. 29 85-106. MR1881048
17. SCHAFER, J. L. (1997a). Analysis of Incomplete Multivariate Data. Monographs on Statistics and Applied Probability 72. Chapman & Hall, London. MR1692799
18. SCHAFER, J. (1997b). Imputation of missing covariates under a general linear mixed model. Dept. Statistics, Penn State Univ.
19. SUTHERLAND, J. M., SCHWARZ, C. J. and RIVEST, L.-P. (2007). Multilist population estimation with incomplete and partial stratification. Biometrics 63 910-916. MR2395810
20. VALENTE, P. (2010). Main results of the UNECE/UNSD survey on the 2010/2011 round of censuses in the UNECE region. Eurostat, Luxembourg.
21. VAN DER HEIJDEN, P. G. M., ZWANE, E. and HESSEN, D. (2009). Structurally missing data problems in multiple list capture-recapture data. AStA Adv. Stat. Anal. 93 5-21. MR2476297
22. van der Heijden, P.G.M., Whittaker, J., Cruyff, M., BAKKER, B. and van der VLIET, R. (2012). Supplement to "People born in the Middle East but residing in the Netherlands: Invariant population size estimates and the role of active and passive covariates." DOI:10.1214/12-AOAS536SUPP.
23. WHITTAKER, J. (1990). Graphical Models in Applied Multivariate Statistics. Wiley, Chichester. MR1112133
24. ZWANE, E. N. and VAN DER HEIJDEN, P. G. M. (2007). Analysing capture-recapture data when some variables of heterogeneous catchability are not collected or asked in all registrations. Stat. Med. 26 1069-1089. MR2339234
25. ZWANE, E., VAN DER PAL, K. and van der Heijden, P.G. M. (2004). The multiple-record systems estimator when registrations refer to different but overlapping populations. Stat. Med. 23 2267-2281.