A sample coverage approach to multiple-system estimation with application to census undercount

Journal of the American Statistical Association

Volumn 93, Issue 441, 1998, Pages 283-293

  Chao, Anne ^a   Tsay, P K ^a  

^a NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

Capture recapture sampling; Correlation bias; Dual system estimator; Heterogeneity; List dependence; Population size

Indexed keywords

EID: 0032357698     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1998.10474109     Document Type: Article

References (32)

1. Agresti, A. (1994), "Simple Capture-Recapture Models Permitting Unequal Catchability and Variable Sampling Effort," Biometrics, 50, 494-500.
2. Alho, J. M., Mulry, M. H., Wurdeman, K., and Kim, J. (1993), "Estimating Heterogeneity in the Probabilities of Enumeration for Dual-System Estimation," Journal of the American Statistical Association, 88, 1130-1136.
3. Bell, W. R. (1993), "Using Information From Demographic Analysis in Postenumeration Survey Estimation," Journal of the American Statistical Association, 88, 1106-1118.
4. Bunge, J., and Fitzpatrick, M. (1993), "Estimating the Number of Species: Rccent Developments," Journal of the American Statistical Association, 88, 364-373.
5. Carothers, A. D. (1973), "The Effects of Unequal Catchability on Jolly-Sebcr Estimates," Biometrics, 29, 79-100.
6. Chao, A., and Lee, S.-M. (1992), "Estimating the Number of Classes via Sample Coverage," Journal of the American Statistical Association, 87, 210-217.
7. Chao, A., Lee, S.-M., and Jeng, S.-L. (1992), "Estimating Population Size for Capture-Recapture Data When Capture Probabilities Vary by Time and Individual Animal," Biometrics, 48, 201-216.
8. Chao, A., Tsay, P. K., Shau W.-Y., and Chao, D.-Y. (1996), "Population Size Estimation for Capturc-Recapture Models With Applications to Epidemiological Data," in Proceedings of the Biometrics Section, American Statistical Association, pp. 108-117.
9. Darroch, J. N. (1981), "The Mantel-Haenszel Test and Tests of Marginal Symmetry: Fixed-Effects and Mixed Models for a Categorical Response," International Statistical Review, 49, 285-307.
10. Darroch, J. N., Fienbcrg, S. E., Glonek, G. F. V., and Junker, B. W. (1993), "A Three-Sample Multiple-Rccapture Approach to Census Population Estimation With Heterogeneous Catchability," Journal of the American Statistical Association, 88, 1137-1148.
11. Fienberg, S. E. (1981), "Recent Advances in Theory and Methods for the Analysis of Categorical Data: Making the Link to Statistical Practice," Bulletin of the International Statistical Institute, 49, 763-7911.
12. Fienberg, S. E. (1992), "An Adjusted Census in 1990? The Trial," Chance, 5, 28- 38.
13. Fisher, R. A., Corbet, A. S., and Williams, C. B. (1943), "The Relation Between the Number of Species and the Number of Individuals in a Random Sample of an Animal Population," Journal of Animal Ecology, 12, 42-58.
14. Gilbert, R. O. (1973), "Approximations of the Bias in the Jolly-Seber Capture-Recapture Model," Biometrics, 29, 501-526.
15. Good, I. J. (1953), "On the Population Frequencies of Species and the Estimation of Population Parameters," Biometrika, 40, 237-264.
16. Hogan, H. (1993), 'The 1990 Postenumeration Survey: Operations and Results," Journal of the American Statistical Association, 88, 1047-1060.
17. Hook, E. B., and Regal, R. R. (1993), "Effects of Variation in Probability of Ascertainment by Sources ('Variable Catchability') Upon 'Capture-Recapture' Estimates of Prevalence," American Journal of Epidemiology, 137, 1148-1166.
18. International Society for Disease Monitoring and Forecasting (1995), "Capture-Recapture and Multiple-Record Systems Estimation I: History and Theoretical Development," American Journal of Epidemiology, 142, 1047-1058.
19. Isaki, C. T. (1986), "Bias of the Dual System Estimator and Some Alternatives," Communications in Statistics, Part A-Theory and Methods, 15, 1435-1450.
20. Isaki, C. T., and Schultz, L. K. (1986), "Dual System Estimation Using Demographic Analysis Data," Journal of Official Statistics, 2, 169-179.
21. Kadane, J. B., Meyer, M. M. and Tukey, J. W. (1992), "Correlation Bias in the Presence of Stratum Heterogeneity," Technical Report 549, Carncgie-Mellon University, Dept, of Statistics.
22. Otis, D. L., Burnham, K. P., White, G. C., and Anderson, D. R. (1978), "Statistical Inference From Capture Data on Closed Animal Populations." Wildlife Monographs, 62, 1-135.
23. Pollock, K. H. (1976), "Building Models of Capture-Recapture Experiments," The Statisticians, 25, 253-260.
24. Pollock, K. H. (1991), "Modeling Capture, Recapture, and Removal Statistics for Estimation of Demographic parameters for Fish and Wildlife Populations: Past, Present, and Future," Journal of the American Statistical Association, 86, 225-238.
25. Rasch, G. (1961), "On General Laws and the Meaning of Measurement in Psychology." in Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, ed. J. Neyman, Berkeley, CA: University of California Press, pp. 321-333.
26. Robinson, J. G., Ahmed, B., Das Gupta, P., and Woodrow, K. A. (1993), "Estimation of Population Coverage in the 1990 United States Census Based on Demographic Analysis," Journal of the American Statistical Association, 88, 1061-1079.
27. Seber, G. A. F. (1982), The Estimation of Animal Abundance (2nd ed.), London: Griffin.
28. Sekar, C., and Deming, W. E. (1949), "On a Method of Estimating Birth and Death Rates and the Extent of Registration," Journal of the American Statistical Association, 44, 101-115.
29. Stegelman, W. (1983), "Expanding the Rasch Model to a General Model Having More Than One Dimension," Psychometrika, 48, 259-267.
30. Wolter, K. M. (1986), "Some Coverage Error Models for Census Data," Journal of the American Statistical Association, 81, 338-353.
31. Wolter, K. M. (1990), "Capture-Recapture Estimation in the Presence of a Known Sex Ratio," Biometrics, 46, 157-162.
32. Zaslavsky, A. M., and Wolfgang, G. S. (1993), "Triple-System Modeling of Census, Postenumeration Survey, and Administrative-List Data," Journal of Business and Economic Statistics, 11, 279-288.