119
Views
27
CrossRef citations to date
0
Altmetric
Original Articles

Random effects and shrinkage estimation in capture-recapture models

Pages 329-351 | Published online: 14 May 2010

References

  • BROOKS , S. P. and GELMAN , A. 1998 . Alternative methods for monitoring convergence of iterative simulation . Journal of Camp. Graphical Statist , 7 : 434 – 455 .
  • BROOKS , S. P. , CATCHPOLE , E. A. , MORGAN , B. J. T. and BARRY , S. C. 2000a . On the Bayesian analysis of ring-recovery data . Biometrics , 56 : 951 – 956 .
  • BROOKS , S. P. , CATCHPOLE , E. A. and MORGAN , B. J. T. 2000b . Bayesian animal survival estimation . Statistical Science , 15 (4) : 357 – 376 .
  • BROWNIE , C. , ANDERSON , D. R. , BURNHAM , K. P. and ROBSON , D. S. 1985 . Statistical Inference from Band Recovery Data: A Handbook, , 2nd Edn , US Fish and Wildlife Service Resource Publication 156
  • BURNHAM , K. P. 2000 . On random effects models for capture-recapture data . J. Agr. Biol and Env. Stats , (to appear)
  • BURNHAM , K. P. and OVERTON , W. S. 1978 . Estimation of the size of a closed population when capture probabilities vary among animals . Biometrika , 65 : 625 – 633 .
  • BURNHAM , K. P. and ANDERSON , D. R. 1998 . Model Selection and Inference: A Practical lnformationTheoteric Approach , New York : Springer-Verlag .
  • CARLIN , B. P. and Louis , T. A. 1996 . Bayes and Empirical Bayes Methods for Data Analysis , New York : Chapman & Hall/CRC .
  • CASELLA , G. and BERGER , R. L. 1990 . Statistical Inference , Pacific Grove , CA : Brooks/Cole .
  • CHAVEZ-DEMOULIN , V. 1999 . Bayesian inference for small-sample capture-recapture data . Biometrics , 55 : 727 – 731 .
  • CHRISTENSEN , R. 1991 . Linear Models for Multivariate, Time Series, and Spatial Data , New York : Springer-Verlag .
  • CRESSIE , N. A. C. 1991 . Statistics for Spatial Data , New York : Wiley .
  • DUPUIS , J. A. 1995 . Bayesian estimation of movement and survival probabilities from capture-recapture data . Biometrika , 82 (4) : 761 – 772 .
  • EFRON , B. and MORRIS , C. 1975 . Data analysis using Stein's estimator and its generalizations . J. Amer. Statist. Assoc. , 70 : 311 – 319 .
  • EFRON , B. and MORRIS , C. 1977 . Stein's paradox in statistics . Scientific American , 236 (5) : 119 – 127 .
  • GELMAN , A. , CARLIN , J. B. , STERN , H. S. and RUBIN , D. B. 1995 . Bayesian Data Analysis , London : Chapman & Hall .
  • GEORGE , E. I. and ROBERT , C. P. 1992 . Capture-recapture estimation via Gibbs sampling . Biometrika , 79 (4) : 677 – 683 .
  • GILKS , W. R. , RICHARDSON , S. and SPIEGELHALTER , D. J. , eds. 1996a . Markov Chain Monte Carlo in Practice , London : Chapman & Hall .
  • GILKS , W. R. , RICHARDSON , S. and SPIEGELHALTER , D. J. 1996b . “ Introducing Markov chain Monte Carlo ” . In Markov Chain Monte Carlo in Practice , Edited by: GlLKS , W. R. , RICHARDSON , S. and SPIEGELHALTER , D. J. 1 – 19 . London : Chapman & Hall .
  • HASTIE , T. J. and TlBSHIRANI , R. J. 1990 . Generalized Additive Models , London : Chapman & Hall .
  • HANDCOCK , M. S. and STEIN , M. L. 1993 . A Bayesian analysis of kriging . Technometrics , 35 : 403 – 410 .
  • HENDERSON , C. R. 1950 . Estimation of genetic parameters . Ann. Math. Statist. , 21 : 309 – 310 .
  • JAMES , W. and STEIN , C. Estimation with quadratic loss . Proceedings of the Fourth Berkeley Symposium on Math. Statist, and Prob. 1 . pp. 361 – 379 . Berkeley , CA : University of California Press .
  • KACKAR , R. N. and HARVILLE , D. A. 1981 . Unbiasedness of two-stage estimation and prediction procedures for mixed linear models . Communications in Statistics--Theory and Methods , A10 : 1249 – 1261 .
  • KACKAR , R. N. and HARVILLE , D. A. 1984 . Approximations for standard errors of estimators of fixed and random effects in mixed linear models . Journal of the American Statistical Association , 79 : 853 – 862 .
  • LAIRD , N. M. and Louis , T. A. 1987 . Empirical Bayes confidence intervals based on bootstrap samples (with discussion) . Journal of the American Statistical Association , 82 : 739 – 757 .
  • LAIRD , N. M. and WARE , J. H. 1982 . Random-effects models for longitudinal data . Biometrics , 38 : 963 – 974 .
  • LEBRETON , J. D. , BURNHAM , K. P. , CLOBERT , J. and ANDERSON , D. R. 1992 . Modeling survival and testing biological hypotheses using marked animals: A unified approach with case studies . Ecological Monographs , 62 (1) : 67 – 118 .
  • LINK , W. A. and HAHN , C. 1996 . Empirical Bayes estimation of proportions with application to cowbird parasitism rates . Ecology , 77 : 2528 – 2537 .
  • LOUIS , T. A. 1984 . Estimating a population of parameter values using Bayes and empirical Bayes methods . Journal of the American Statistical Association , 79 : 393 – 398 .
  • MORRIS , C. N. 1983 . Parametric empirical Bayes inference: Theory and applications . Journal of the American Statistical Association , 78 (381) : 47 – 65 .
  • NYCHKA , D. 1998 . Spatial Process Estimates as Smoothers. Smoothing and Regression. Approaches, Computation and Application , Edited by: SCHIMEK , M. G. New York : Wiley .
  • ROBINSON , G. K. 1991 . That BLUP is a good thing: The estimation of random effects (with discussion) . Stat. Sci. , 6 (1) : 15 – 51 .
  • SAVAGE , L. J. The foundations of statistics reconsidered . Proceedings of the Fourth Berkeley Symposium on Math. Statist. & Prob. 1 . pp. 575 – 586 . Berkeley , CA : University of California Press .
  • SEBER , G. A. F. 1982 . The Estimation of Animal Abundance and Related Parameters, , 2nd edn , London : Griffin .
  • SPIEGELHALTER , D. J. , THOMAS , A. and BEST , N. G. 1996 . Computation on Bayesian graphical models . Bayesian Statistics , 5 : 407 – 425 .
  • SPIEGELHALTER , D. J. , BEST , N. G. and CARLIN , B. P. 1998 . Bayesian deviance, the effective number of parameters, and the comparison of arbitrarily complex models , Research Report 98-009 Division of Biostatistics, University of Minnesota .
  • STEIN , C. Inadmissability of the usual estimator for the mean of a multivariate normal distribution . Proceedings of the Third Berkeley Symposium on Math. Statist. & Prob. 1 . pp. 197 – 206 . Berkeley , CA : University of California Press .
  • VOUNATSOU , P. and SMITH , A. F. M. 1995 . Bayesian analysis of ring-recovery data via Markov Chain Monte Carlo simulation . Biometrics , 51 : 687 – 708 .
  • WHITE , G. C. and BURNHAM , K. P. 1999 . Program MARK: Survival estimation from populations of marked animals . Bird Study , 46 (supplement) : 120 – 138 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.