Imputing unobserved values with the EM algorithm under left and right-truncation, and interval censoring for estimating the size of hidden populations

Biometrical Journal

Volumn 53, Issue 1, 2011, Pages 75-87

  Robb, Matthew L ^a   Böhning, Dankmar ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF READING   (United Kingdom)

Author keywords

Capture recapture; Censoring and truncation for count data; Cholera outbreak; EM algorithm

Indexed keywords

DISEASES; POPULATION STATISTICS;

CAPTURE-RECAPTURE; CENSORING AND TRUNCATION FOR COUNT DATA; CHOLERA OUTBREAK; COUNT DATUM; DATA SET; EM ALGORITHMS; FREQUENCY COUNTS; INTERVAL CENSORING; POPULATION SIZES; SUMMARY TABLES;

FREQUENCY ESTIMATION;

EID: 78851470037     PISSN: 03233847     EISSN: 15214036     Source Type: Journal    
DOI: 10.1002/bimj.201000004     Document Type: Article

References (16)

1. Böhning, D. (2008). A simple variance formula for population size estimators by conditioning. Statistical Methodology 5, 410-423.
2. Böhning, D. (2010). Some general comparative points on Chao's and Zelterman's estimator of the population size. Scandinavian Journal of Statistics 37, 221-236.
3. Böhning, D. and van der Heijden, P. G. M. (2009). Recent developments in life and social science applications of capture-recapture methods. AStA Advances in Statistical Analysis 93, 1-3.
4. Borchers, D. L., Buckland, S. T. and Zucchini, W. (2004). Estimating Animal Abundance: Closed Populations. Springer, Heidelberg.
5. Chao, A. (1987). Estimating the population size for capture-recapture data with unequal catchability. Biometrics 43, 783-791.
6. Cormack, R. M. (1992). Interval estimation for mark - recapture studies of closed populations. Biometrics 48, 567-576.
7. Horvitz, D. G. and Thompson, D. J. (1952). A generalization of sampling without replacement from a finite universe. Journal of the American Statistical Association 47, 663-685.
8. Kault, D. (1996). The shape of the distribution of the number of sexual partners. Statistics in Medicine 15, 221-230.
9. Meng, X.-L. (1997). The EM algorithm and medical studies: a historical link. Statistical Methods in Medical Research 6, 3-23.
10. Mosley, W. H., Bart, K. J. and Sommer, A. (1972). An epidemiological assessment of cholera control programs in rural east Pakistan. International Journal of Epidemiology 1, 5-11.
11. Roberts, J. M. and Brewer, D. D. (2006). Estimating the prevalence of male clients of prostitute women in Vancouver with a simple capture-recapture method. Journal of the Royal Statistical Society (Series A) 169, 745-756.
12. Schnabel, Z. E. (1938). The estimation of the total fish population of a lake. American Mathematical Monthly 45, 348-352.
13. Schumacher, F. X. and Eschmeyer, R. W. (1943). The estimation of fish populations in lakes or ponds. Journal of the Tennessee Academy of Science 18, 228-249.
14. van der Heijden, P. G. M., Bustami, R., Cruyff, M., Engbersen, G. and van Houwelingen, H. C. (2003). Point and interval estimation of the population size using the truncated Poisson regression model. Statistical Modelling - An International Journal 3, 305-322.
15. van der Heijden, P. G. M., Zwane, E. and Hessen, D. (2009). Structurally missing data problems in multiple list capture-recapture data. AStA Advances in Statistical Analysis 93, 5-21.
16. Zelterman, D. (1988). Robust estimation in truncated discrete distributions with application to capture-recapture experiments. Journal of Statistical Planning and Inference 18, 225-237.