Reference Bayesian methods for recapture models with heterogeneity

Test

Volumn 19, Issue 1, 2010, Pages 187-208

  Farcomeni, Alessio ^a   Tardella, Luca ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Bayesian inference; Capture recapture models; Default prior; Heterogeneity; Model choice; Population size

Indexed keywords

EID: 77950337561     PISSN: 11330686     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11749-009-0147-9     Document Type: Article

References (38)

1. Berger JO (2006) The case for objective Bayesian analysis. Bayesian Anal 1: 385-402.
2. Berger JO, Bernardo JM (1992) Ordered group reference priors with application to the multinomial problem. Biometrika 79(1): 25-37.
3. Bernardo JM (1979) Reference posterior distributions for Bayesian inference (C/R pp 128-147). J R Stat Soc Ser B 41: 113-128.
4. Bernardo JM (2005) Reference analysis. In: Handbook of statistics. Bayesian thinking, modeling and computation, vol 25. Elsevier, Amsterdam.
5. Bernardo JM, Smith AFM (1994) Bayesian theory. Wiley, New York.
6. Chang F-C, Kemperman JHB, Studden WJ (1993) A normal limit theorem for moment sequences. Ann Probab 21: 1295-1309.
7. Chao A (2001) An overview of closed capture-recapture models. J Agric Biol Environ Stat 6(2): 158-175.
8. Chao A, Tsay PK, Lin S-H, Shau W-Y, Chao D-Y (2003) Tutorial in biostatistics: the applications of capture-recapture models to epidemiological data. Stat Med 20: 3123-3157.
9. Cormack RM (1989) Log-linear models for capture-recapture. Biometrics 45: 395-413.
10. Coull BA, Agresti A (1999) The use of mixed logit models to reflect heterogeneity in capture-recapture studies. Biometrics 55: 294-301.
11. Dette H, Studden WJ (1997) The theory of canonical moments with applications in statistics, probability, and analysis. Wiley, New York.
12. Edwards W, Lindman H, Savage LJ (1963) Bayesian statistical inference for psychological research. Psychol Rev 70: 193-242.
13. Evans MA, Bonett DG, McDonald LL (1994) A general theory for modeling capture-recapture data from a closed population. Biometrics 50: 396-405.
14. Farcomeni A, Tardella L (2007) Reference Bayesian methods for recapture models with heterogeneity. Technical report, Dept of Statistics, Sapienza-University of Rome.
15. Farcomeni A, Tardella L (2008) Identifiability of population size from capture-recapture data with heterogeneous detection probabilities. Technical report, Dept of Statistics, Sapienza-University of Rome.
16. Ghosh SK, Norris JL (2005) Bayesian capture-recapture analysis and model selection allowing for heterogeneity and behavioral effects. J Agric Biol Environ Stat 10: 35-49.
17. Gilks WR, Best NG, Tan KKC (1995) Adaptive rejection Metropolis sampling within Gibbs sampling. Applied Stat 44: 455-472. (Corr: 46: 541-542 (1997) with RM Neal).
18. Gilks WR, Richardson S, Spiegelhalter DJ (eds) (1996) Markov chain Monte Carlo in practice. Chapman & Hall, London.
19. Gustafson P (1996) Local sensitivity of posterior expectations. Ann Stat 24: 174-195.
20. Hoeting JA, Madigan D, Raftery AE, Volinsky CT (1999) Bayesian model averaging: a tutorial. Stat Sci 14: 382-417.
21. Huggins RM (1991) Some practical aspects of a conditional likelihood approach to capture experiments. Biometrics 47: 725-732.
22. Kass RE, Raftery AE (1995) Bayes factors. J Am Stat Assoc 90: 773-795.
23. Link WA (2003) Nonidentifiability of population size from capture-recapture data with heterogeneous detection probabilities. Biometrics 59: 1123-1130.
24. Liu JS (2001) Monte Carlo strategies in scientific computing. Springer, New York.
25. Otis DL, Burnham KP, White GC, Anderson DR (1978) Statistical inference from capture data on closed animal populations. Wildlife monographs.
26. Pollock KH (2000) Capture-recapture models. J Am Stat Assoc 95: 293-296.
27. R Development Core Team (2007) R: A Language and environment for statistical computing. R Foundation for statistical computing, Vienna, Austria.
28. Rissanen J (1983) A universal prior for integers and estimation by minimum description length. Ann Stat 11: 416-431.
29. Robert CP, Casella G (1999) Monte Carlo statistical methods. Springer, Berlin.
30. Sanathanan L (1972) Estimating the size of a multinomial population. Ann Math Stat 43: 142-152.
31. Schwarz CJ, Seber GAF (1999) Estimating animal abundance: review III. Stat Sci 14: 427-456.
32. Skibinsky M (1967) The range of the (n+1)-th moment for distributions on [0, 1]. J Appl Probab 4: 543-552.
33. Skibinsky M (1968) Extreme nth moments for distributions on [0, 1]. J Appl Probab 5: 693-701.
34. Skibinsky M (1970) A characterization of hypergeometric distributions. J Am Stat Assoc 65: 926-929.
35. Skibinsky M (1986) Principal representations and canonical moment sequences for distributions on an interval. J Math Anal Appl 120: 95-118.
36. Tardella L (2002) A new Bayesian method for nonparametric capture-recapture models in presence of heterogeneity. Biometrika 89: 807-817.
37. Tardella L (2007) Bayesian capture-recapture. ISBA bulletin, 14(1). Annotated bibliography, available at http://www. bayesian. org/bulletin/0703. pdf.
38. Wang X, He CZ, Sun D (2007) Bayesian population estimation for a capture-recapture model using non-informative priors. J Stat Plan Inference 137: 1099-1118.