Capture-Recapture Models with Heterogeneous Temporary Emigration

References

• Aldous, D. J. (1985), “Exchangeability and Related Topics,” in École d’Été de Probabilités de Saint-Flour XIII–1983, ed. P. L. Hennequin, pp. 1–198, Berlin: Springer.
   Google Scholar
• Argiento, R., Bianchini, I., and Guglielmi, A. (2016), “Posterior Sampling from ε-Approximation of Normalized Completely Random Measure Mixtures,” Electronic Journal of Statistics, 10, 3516–3547. DOI: 10.1214/16-EJS1168.
   Web of Science ®Google Scholar
• Argiento, R., and De Iorio, M. (2022), “Is Infinity that Far? A Bayesian Nonparametric Perspective of Finite Mixture Models,” Annals of Statistics (to appear).
   Web of Science ®Google Scholar
• Benson, A., and Friel, N. (2018), “Adaptive MCMC for Multiple Changepoint Analysis with Applications to Large Datasets,” Electronic Journal of Statistics, 12, 3365–3396. DOI: 10.1214/18-EJS1418.
   Web of Science ®Google Scholar
• Charalambides, C. A. (2005), Combinatorial Methods in Discrete Distributions (Vol. 600), Hoboken, NJ: Wiley.
   Google Scholar
• Darroch, J. N. (1958), “The Multiple-Recapture Census: I. Estimation of a Closed Population,” Biometrika, 45, 343–359. DOI: 10.1093/biomet/45.3-4.343.
   Web of Science ®Google Scholar
• Diana, A., Matechou, E., Griffin, J., and Johnston, A. (2020), “A Hierarchical Dependent Dirichlet Process Prior for Modelling Bird Migration Patterns in the UK,” Annals of Applied Statistics, 14, 473–493.
   Web of Science ®Google Scholar
• Favaro, S., and Teh, Y. W. (2013), “MCMC for Normalized Random Measure Mixture Models,” Statistical Science, 28, 335–359. DOI: 10.1214/13-STS422.
   Web of Science ®Google Scholar
• Foti, N. J., and Williamson, S. A. (2013), “A Survey of Non-exchangeable Priors for Bayesian Nonparametric Models,” IEEE Transactions on Pattern Analysis and Machine Intelligence, 37, 359–371. DOI: 10.1109/TPAMI.2013.224.
   Web of Science ®Google Scholar
• Ishwaran, H., and James, L. F. (2003), “Generalized Weighted Chinese Restaurant Processes for Species Sampling Mixture Models,” Statistica Sinica, 13, 1211–1235.
   Web of Science ®Google Scholar
• Jolly, G. M. (1965), “Explicit Estimates from Capture-Recapture Data with both Death and Immigration-Stochastic Model,” Biometrika, 52, 225–247. DOI: 10.1093/biomet/52.1-2.225.
   PubMed Web of Science ®Google Scholar
• Kottas, A., and Sansó, B. (2007), “Bayesian Mixture Modeling for Spatial Poisson process Intensities, with Applications to Extreme Value Analysis,” Journal of Statistical Planning and Inference, 137, 3151–3163. DOI: 10.1016/j.jspi.2006.05.022.
   Web of Science ®Google Scholar
• Laake, J. (2013), “RMark: An R Interface for Analysis of Capture-Recapture Data with MARK,” AFSC Processed Rep. 2013-01, Alaska Fish. Sci. Cent., NOAA, Natl. Mar. Fish. Serv., Seattle, WA.
   Google Scholar
• Lyons, J. E., Kendall, W. L., Royle, J. A., Converse, S. J., Andres, B. A., and Buchanan, J. B. (2016), “Population Size and Stopover Duration Estimation using Mark–Resight Data and Bayesian Analysis of a Superpopulation Model,” Biometrics, 72, 262–271. DOI: 10.1111/biom.12393.
   PubMed Web of Science ®Google Scholar
• MacKenzie, D. I., Nichols, J. D., Lachman, G. B., Droege, S., Andrew Royle, J., and Langtimm, C. A. (2002), “Estimating Site Occupancy Rates when Detection Probabilities are less than one,” Ecology, 83, 2248–2255. DOI: 10.1890/0012-9658(2002)083[2248:ESORWD.2.0.CO;2]
   Web of Science ®Google Scholar
• Manrique-Vallier, D. (2016), “Bayesian Population Size Estimation using Dirichlet Process Mixtures,” Biometrics, 72, 1246–1254.
   PubMed Web of Science ®Google Scholar
• Matechou, E., and Caron, F. (2017), “Modelling Individual Migration Patterns using a Bayesian Nonparametric Approach for Capture–Recapture Data,” The Annals of Applied Statistics, 11, 21–40. DOI: 10.1214/16-AOAS989.
   Web of Science ®Google Scholar
• Matechou, E., Nicholls, G. K., Morgan, B. J., Collazo, J. A., and Lyons, J. E. (2016), “Bayesian Analysis of Jolly-Seber Type Models,” Environmental and Ecological Statistics, 23, 531–547. DOI: 10.1007/s10651-016-0352-0.
   Web of Science ®Google Scholar
• Miller, J. W., and Harrison, M. T. (2018), “Mixture Models with a Prior on the Number of Components,” Journal of the American Statistical Association, 113, 340–356. DOI: 10.1080/01621459.2016.1255636.
   PubMed Web of Science ®Google Scholar
• Molitor, J., Papathomas, M., Jerrett, M., and Richardson, S. (2010), “Bayesian Profile Regression with an Application to the National Survey of Children’s Health,” Biostatistics, 11, 484–498. DOI: 10.1093/biostatistics/kxq013.
   PubMed Web of Science ®Google Scholar
• 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, 3–135.
   Google Scholar
• Pitman, J. (1996), “Some Developments of the Blackwell-Macqueen urn Scheme,” in Statistics, Probability and Game Theory: Papers in Honor of David Blackwell, volume 30 of IMS Lecture Notes-Monograph Series, eds. T. S. Ferguson, L. S. Shapley, and J. B. MacQueen, pp. 245–267, Hayward, CA: Institute of Mathematical Statistics.
   Google Scholar
• Pledger, S. (2000), “Unified Maximum Likelihood Estimates for Closed Capture–Recapture Models Using Mixtures,” Biometrics, 56, 434–442. DOI: 10.1111/j.0006-341x.2000.00434.x.
   PubMed Web of Science ®Google Scholar
• Pledger, S., Efford, M., Pollock, K., Collazo, J., and Lyons, J. (2009), “Stopover Duration Analysis with Departure Probability Dependent on Unknown Time Since Arrival,” in Modeling Demographic Processes in Marked Populations, eds. D. L. Thomson, E. G. Cooch, and M. J. Conroy, pp. 349–363, New York: Springer.
   Google Scholar
• Plummer, M., Best, N., Cowles, K., and Vines, K. (2006), “CODA: Convergence Diagnosis and Output Analysis for MCMC,” R News, 6, 7–11.
   Google Scholar
• Pollock, K. H. (1982), “A Capture-Recapture Design Robust to Unequal Probability of Capture,” The Journal of Wildlife Management, 46, 752–757. DOI: 10.2307/3808568.
   Web of Science ®Google Scholar
• Roberts, G. O., Gelman, A., and Gilks, W. R. (1997), “Weak Convergence and Optimal Scaling of Random Walk Metropolis Algorithms,” Annals of Applied Probability, 7, 110–120.
   Web of Science ®Google Scholar
• Schwarz, C. J., and Arnason, A. N. (1996), “A General Methodology for the Analysis of Capture-Recapture Experiments in Open Populations,” Biometrics, 52, 860–873. DOI: 10.2307/2533048.
   Web of Science ®Google Scholar
• Seber, G. A. F. (1965), “A Note on the Multiple-Recapture Census,” Biometrika, 52, 249–259. DOI: 10.1093/biomet/52.1-2.249.
   PubMed Web of Science ®Google Scholar
• Taddy, M. A., and Kottas, A. (2012), “Mixture Modeling for Marked Poisson Processes,” Bayesian Analysis, 7, 335–362. DOI: 10.1214/12-BA711.
   Web of Science ®Google Scholar
• Teh, Y. W., Jordan, M. I., Beal, M. J., and Blei, D. M. (2006), “Hierarchical Dirichlet Processes,” Journal of the American Statistical Association, 101, 1566–1581. DOI: 10.1198/016214506000000302.
   Web of Science ®Google Scholar
• Wade, S., and Ghahramani, Z. (2018), “Bayesian Cluster Analysis: Point Estimation and Credible Balls” (with discussion), Bayesian Analysis, 13, 559–626. DOI: 10.1214/17-BA1073.
   Web of Science ®Google Scholar
• Zhou, M., McCrea, R. S., Matechou, E., Cole, D. J., and Griffiths, R. A. (2019), “Removal Models Accounting for Temporary Emigration,” Biometrics, 75, 24–35. DOI: 10.1111/biom.12961.
   PubMed Web of Science ®Google Scholar