Modelo Bayesiano Hierárquico de Captura-Recaptura com Distribuição Poisson-Gama
DOI:
https://doi.org/10.5540/tema.2009.010.02.0191Abstract
Neste artigo apresentamos um modelo bayesiano de captura-recaptura proposto por Castledine (1981) e um modelo bayesiano hierárquico com distribuiçãoPoisson-Gama para o tamanho da população, considerando um conjunto de dados reais de captura-recaptura para uma população fechada. Apresentamos as estimativas a posteriori do parâmetro N, segundo os modelos bayesianos considerados bem como apresentamos algumas estimativas clássicas. Alguns aspectos sobre prioris não informativas para o modelo bayesiano hierárquico com distribuição Poisson-Gama são abordados e discutidos.References
[1] S. Basu, N. Ebrahimi, Bayesian capture-recapture methods for error detection and estimation of population size heterogeneity and dependence, Biometrika, 88 (2001), 269–279.
G.E.P. Box, G.C. Tiao, “Bayesian Inference in Statistical Analysis”, Addison-Wesley Series in Behavioral Science, John Wiley & Sons, New York, 1973.
B.A. Castledine, Bayesian analysis of multiple-recapture sampling for a closed population, Biometrika, 68 (1981), 197–210.
D.G. Comack, Internal estimation for mark-recapture studies of closed populations, Biometrics, 48 (1992), 567–76.
A. Gelman, D. Rubin, Inference from iterative simulation using multiple sequences, Statistical Science, 7 (1992), 457–511.
E.I. George, C.P. Robert, Capture-recapture estimation via Gibbs sampling. Biometrika. 79, No. 4 (1992), 677–83.
S.D. Gerking, Vital Statistics of the fish population of Gordy Lake, Indiana, Transactions of the American Fisheries Society, 82 (1953), 48–67.
R. Ihaka, R. Gentleman, R: A language for data analysis and graphics, Journal of Computational and Graphical Statistics, 5, No. 3 (1996), 299–314.
H. Jeffreys, “Theory of Probability”, Oxford University Press, 3rd edition, 1961.
G.M. Jolly, Explicit estimates from capture-recapture data with both death and immigration - stochastic model, Biometrika, 52 (1965), 225–47.
P.S. Laplace, Sur les naissances, les mariages et les morts, in “Histoire de L ´Académie Royale des Sciences”, Paris, pp. 693, (1786).
W.R. Novick, W.J. Hall, A Bayesian indifference procedure, Journal American Statistical Association, 60 (1965), 1104–1117.
M. Paula, “Um enfoque Bayesiano do modelo de captura-recaptura na presença de covariáveis”, Dissertação de mestrado, Universidade Federal de São Carlos, 2006.
C.G.J. Petersen, The yearly immigration of young plaice into Limfjord from the German sea, etc, Rept., Danish Biol. Stn., 6 (1896), 1–48.
K.H. Pollock, Modeling capture-recapture, and removal statistics for estimation of demographic parameters for fish and wildlife populations: Pas, present, and future, Journal American Statistical Association, 86 (1991), 225–38.
W.E. Ricker, Handbook of Computations for Biological Statistics of Fish populations, Bull. Fish. Bd. Canada, 119 (1958), 300p.
W.E. Ricker, “Computation and Interpretation of Biological Statistics of Fish Population”, Ottawa: Dept. of the Environment, Fisheries and Marine Service, 382p, 1975.
Z.E. Schnabel, The estimation of the total fish population of a lake, Am. Math. Monthly, 45 (1938), 348–52.
C.J. Schwarz, A.N. Arnason, A general methodology for the analysis of capturerecapture experiments in open populations, Biometrics, 52 (1996), 860–73.
P.J. Smith, Bayesian methods for multiple capture-recapture surveys, Biometrics, 44 (1988), 1177–1189.
P.J. Smith, Bayesian analysis for a multiple capture-recapture model, Biometrika, 78 (1991), 399–408.
X. Wang, “Bayesian Analysis of Capture-recapture Models”, Ph.D. Dissertation, University of Missouri, Columbia. 2002.
R. Yang, J.O. Berger, Estimation of a covariance matrix using the reference prior, Annal. Statist., 22, No. 3 (1994), 1195–1211.
R. Yang, M.H. Chen, Bayesian analysis for random coefficient regression models using noninformative priors, Journal Multivariate Analysis, 55, No. 2 (1995), 283–311.
R. Yang, D. Pyne, “Bayesian analysis with mixed model in unbalanced case”, Ph.D. Dissertation, Purdue University, 1996.
H. P. Zacharias, “Aplicação do algoritmo Gibbs sampling no processo de captura-recaptura”, Dissertação de mestrado, Universidade Federal de São Carlos,2000.
Downloads
Published
How to Cite
Issue
Section
License
Copyright
Authors of articles published in the journal Trends in Computational and Applied Mathematics retain the copyright of their work. The journal uses Creative Commons Attribution (CC-BY) in published articles. The authors grant the TCAM journal the right to first publish the article.
Intellectual Property and Terms of Use
The content of the articles is the exclusive responsibility of the authors. The journal uses Creative Commons Attribution (CC-BY) in published articles. This license allows published articles to be reused without permission for any purpose as long as the original work is correctly cited.
The journal encourages Authors to self-archive their accepted manuscripts, publishing them on personal blogs, institutional repositories, and social media, as long as the full citation is included in the journal's website version.