Measurement errors in continuous-time capture-recapture models

Journal of Statistical Planning and Inference

Volumn 137, Issue 6, 2007, Pages 1888-1899

  Hwang, Wen Han ^a   Huang, Yih Huei ^b  

^a FENG CHIA UNIVERSITY   (Taiwan)

^b TAMKANG UNIVERSITY   (Taiwan)

Author keywords

Capture recapture; Conditional score; Measurement error; Population size; Regression calibration

Indexed keywords

EID: 33846379596     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2006.04.010     Document Type: Article

References (29)

1. Carroll R.J., Ruppert D., and Stefanski L.A. Measurement Errors in Nonlinear Models (1995), Chapman & Hall, London
2. Chao A. An overview of closed capture-recapture models. J. Agri. Biol. Environ. Statist. 6 (2001) 158-175
3. Chen K. Parametric and semiparametric models for recapture and removal studies: a likelihood approach. J. Roy. Statist. Soc. Ser. B 63 (2001) 607-619
4. Chen H.Y. Double-semiparametric method for missing covariates in Cox regression models. J. Amer. Statist. Assoc. 97 (2002) 565-576
5. Chen H.Y., and Little R.J.A. Proportional hazards regression with missing covariates. J. Amer. Statist. Assoc. 94 (1999) 896-908
6. Chen S.X., and Cowling A. Measurement errors in line transect surveys where detectability varies with distance and size. Biometrics 57 (2001) 732-742
7. Fuller W.A. Measurement Error Models (1987), Wiley, New York
8. Hu C., and Lin D.Y. Semiparametric failure time regression with replicates of mismeasured covariates. J. Amer. Statist. Assoc. 99 (2004) 105-118
9. Huggins R.M. On the statistical analysis of capture experiments. Biometrika 76 (1989) 133-140
10. Hwang J.T. Multiplicative errors in variables models with application to the recent data released by the U.S. Department of Energy. J. Amer. Statist. Assoc. 81 (1986) 680-688
11. Hwang W.H., and Chao A. Continuous-time capture-recapture models with covariates. Statist. Sinica 12 (2002) 1115-1131
12. Hwang W.H., and Huang S.Y.H. Estimation in capture-recapture models when covariates are subject to measurement errors. Biometrics 59 (2003) 1115-1124
13. Hwang, W.H., Huang, S.Y.H., Wang, C.Y., 2006. Effects of measurement error and conditional score estimation in capture-recapture models. Statist. Sinica, to appear.
14. Lin, S.P., 2001. Comparison of population size estimations between continuous and discrete capture-recapture experiments. Ph.D. Thesis, Institute of Statistics, National Tsing Hua University, Taiwan.
15. McCullagh P., and Nelder J.A. Generalized Linear Models. second ed (1989), Chapman & Hall, New York
16. Nakamura T. Proportional hazards models with covariates subject to measurement error. Biometrics 48 (1992) 829-838
17. Nayak T.K. Estimating population size by recapture sampling. Biometrika 75 (1988) 113-120
18. Pollock K.H. Modeling capture, recapture, and removal statistics for estimation of demographic parameters for fish and wildlife populations: past, present, and future. J. Amer. Statist. Assoc. 86 (1991) 225-238
19. Pollock K.H. The use of auxiliary variables in capture-recapture modeling: an overview. J. Appl. Statist. 29 (2002) 85-102
20. Prentice R.L. Covariate measurement errors and parameter estimation in a failure time regression model. Biometrika 69 (1982) 331-342
21. Seber G.A.F. The Estimation of Animal Abundance. second ed (1982), Griffin, London
22. Shao J. Mathematical Statistics (1999), Springer, New York
23. Stefanski L.A. The effects of measurement error on parameter estimator. Biometrika 72 (1985) 583-592
24. Stefanski L.A., and Carroll R.J. Conditional scores and optimal scores for generalized linear measurement-error models. Biometrika 74 (1987) 703-716
25. Tsiatis A.A., and Davidian M. A semiparametric estimator for the proportional hazards model with longitudinal covariates measured with error. Biometrika 88 (2001) 447-458
26. Wang Y., and Yip P.S.F. A semiparametric model for recapture experiments. Scand. J. Statist. 30 (2003) 667-676
27. Wilson K.R., and Anderson D.R. Continuous-time capture-recapture population estimation when capture probabilities vary over time. Environ. Ecol. Statist. 2 (1995) 55-69
28. Yip P.S.F., Huggins R.M., and Lin D.Y. Inference for capture-recapture experiments in continuous time with variable capture rates. Biometrika 83 (1996) 477-483
29. Yip P.S.F., Lin H.Z., and Xi L. A semiparametric method for estimating population size for capture-recapture experiment with random covariates in continuous time. Biometrics 61 (2005) 1085-1092