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Volumn 96, Issue 456, 2001, Pages 1361-1374

Objective bayesian analysis of spatially correlated data

Author keywords

Correlation function; Covariance selection; Frequentist coverage; Gaussian random field; Geostatistics; Improper posterior; Integrated likelihood; Jeffreys prior; Reference prior

Indexed keywords


EID: 1542679193     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1198/016214501753382282     Document Type: Article
Times cited : (397)

References (33)
  • 2
  • 3
    • 0001141391 scopus 로고
    • On the Development of the Reference Prior Method
    • J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, London: Oxford University Press
    • Berger, J. O., and Bernardo, J. M. (1992), “On the Development of the Reference Prior Method,” in Bayesian Statistics 4, eds. J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, London: Oxford University Press, pp. 35-60.
    • (1992) Bayesian Statistics , vol.4 , pp. 35-60
    • Berger, J.O.1    Bernardo, J.M.2
  • 4
    • 0002464001 scopus 로고    scopus 로고
    • Integrated LikelihoodMethods for Eliminating Nuisance Parameters (With discussion)
    • Berger, J. O., Liseo, B., and Wolpert, R. (1999), “Integrated LikelihoodMethods for Eliminating Nuisance Parameters (with discussion),” Statistical Science, 14, 1-28.
    • (1999) Statistical Science , vol.14 , pp. 1-28
    • Berger, J.O.1    Liseo, B.2    Wolpert, R.3
  • 6
    • 33744577782 scopus 로고    scopus 로고
    • Bayes Factors and Marginal Distributions in Invariant Situations
    • Ser. A
    • Berger, J. O., Pericchi, L. R., and Varshavsky, J. A. (1998), “Bayes Factors and Marginal Distributions in Invariant Situations,” Sankhya, Ser. A, 86, 79-92.
    • (1998) Sankhya , vol.86 , pp. 79-92
    • Berger, J.O.1    Pericchi, L.R.2    Varshavsky, J.A.3
  • 7
    • 0032364488 scopus 로고    scopus 로고
    • Estimation of Quadratic Functions: Noninformative Priors for Non-Centrality Parameters
    • Berger, J. O., Philippe, A., and Robert, C. (1998), “Estimation of Quadratic Functions: Noninformative Priors for Non-Centrality Parameters,” Statistica Sinica, 8, 359-376.
    • (1998) Statistica Sinica , vol.8 , pp. 359-376
    • Berger, J.O.1    Philippe, A.2    Robert, C.3
  • 8
    • 0002183088 scopus 로고
    • Reference Posterior Distributions for Bayes Inference (With discussion)
    • Ser. B
    • Bernardo, J. M. (1979), “Reference Posterior Distributions for Bayes Inference (with discussion),” Journal of the Royal Statistical Society, Ser. B, 41, 113-147.
    • (1979) Journal of the Royal Statistical Society , vol.41 , pp. 113-147
    • Bernardo, J.M.1
  • 14
    • 0001218443 scopus 로고
    • Non-Informative Priors
    • J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith, London: Oxford University Press
    • Ghosh, J. K., and Mukerjee, R. (1992), “Non-Informative Priors,” in Bayesian Statistics 4, eds. J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith, London: Oxford University Press, pp. 195-210.
    • (1992) Bayesian Statistics , vol.4 , pp. 195-210
    • Ghosh, J.K.1    Mukerjee, R.2
  • 15
    • 84952117554 scopus 로고
    • A Bayesian Analysis of Kriging
    • Handcock, M. S., and Stein, M. L. (1993), “A Bayesian Analysis of Kriging,” Technometrics, 35, 403-410.
    • (1993) Technometrics , vol.35 , pp. 403-410
    • Handcock, M.S.1    Stein, M.L.2
  • 16
    • 84950427374 scopus 로고
    • An Approach to Statistical Spatial-Temporal Modeling of Meteorological Fields (With discussion)
    • Handcock, M. S., and Wallis, J. R. (1994), “An Approach to Statistical Spatial-Temporal Modeling of Meteorological Fields (with discussion),” Journal of the American Statistical Association, 89, 368-390.
    • (1994) Journal of the American Statistical Association , vol.89 , pp. 368-390
    • Handcock, M.S.1    Wallis, J.R.2
  • 17
    • 85041975654 scopus 로고
    • Bayesian Inference for Variance Components Using Only Error Contrasts
    • Harville, D. A. (1974), “Bayesian Inference for Variance Components Using Only Error Contrasts,” Biometrika, 61, 383-384.
    • (1974) Biometrika , vol.61 , pp. 383-384
    • Harville, D.A.1
  • 21
    • 0006931680 scopus 로고
    • Parameter Uncertainty in Estimation of Spatial Functions: Bayesian Analysis
    • Kitanidis, P. K. (1986), “Parameter Uncertainty in Estimation of Spatial Functions: Bayesian Analysis,” Water Resources Research, 22, 449-507.
    • (1986) Water Resources Research , vol.22 , pp. 449-507
    • Kitanidis, P.K.1
  • 22
    • 0001151136 scopus 로고
    • On Multimodality of the Likelihood in the Spatial Linear Model
    • Mardia, K. V., and Watkins, A. J. (1989), “On Multimodality of the Likelihood in the Spatial Linear Model,” Biometrika, 76, 289-295.
    • (1989) Biometrika , vol.76 , pp. 289-295
    • Mardia, K.V.1    Watkins, A.J.2
  • 23
    • 0004256437 scopus 로고
    • 2nd ed., Berlin: Springer-Verlag
    • Matérn, B. (1986), Spatial Variation, 2nd ed., Berlin: Springer-Verlag.
    • (1986) Spatial Variation
    • Matérn, B.1
  • 24
    • 0001857092 scopus 로고
    • Fractional Bayes Factors for Model Comparisons
    • Ser. B
    • O’Hagan, A. (1995), “Fractional Bayes Factors for Model Comparisons,” Journal of the Royal Statistical Society, Ser. B, 57, 99-138.
    • (1995) Journal of the Royal Statistical Society , vol.57 , pp. 99-138
    • O’Hagan, A.1
  • 25
    • 0030305456 scopus 로고    scopus 로고
    • Risks of Using Improper Priors with Gibbs Sampling and Autocorrelated Errors
    • Palmer, J. L., and Pettit, L. I. (1996), “Risks of Using Improper Priors with Gibbs Sampling and Autocorrelated Errors,” Journal of Computational and Graphical Statistics, 5, 245-249
    • (1996) Journal of Computational and Graphical Statistics , vol.5 , pp. 245-249
    • Palmer, J.L.1    Pettit, L.I.2
  • 27
    • 0001121085 scopus 로고
    • On the Coverage Probability of Confidence Sets Based on a Prior Distribution
    • R. Zielinski, Warsaw: PWN
    • Stein, C. (1985), “On the Coverage Probability of Confidence Sets Based on a Prior Distribution,” in Sequential Methods in Statistics, ed. R. Zielinski, Warsaw: PWN, pp. 485-514.
    • (1985) Sequential Methods in Statistics , pp. 485-514
    • Stein, C.1
  • 29
    • 0002902272 scopus 로고    scopus 로고
    • Reference Priors with Partial Information
    • Sun, D., and Berger, J. O. (1998), “Reference Priors with Partial Information,” Biometrika, 85, 55-71.
    • (1998) Biometrika , vol.85 , pp. 55-71
    • Sun, D.1    Berger, J.O.2
  • 30
    • 21844499252 scopus 로고
    • Reference Prior Bayesian Analysis for Normal Mean Products
    • Sun, D., and Ye, K. (1995), “Reference Prior Bayesian Analysis for Normal Mean Products,” Journal of the American Statistical Association, 90, 589-597.
    • (1995) Journal of the American Statistical Association , vol.90 , pp. 589-597
    • Sun, D.1    Ye, K.2
  • 33
    • 0043169078 scopus 로고
    • Bayesian Reference Prior Analysis on the Ratio of Variances for the Balanced One-Way Random Effect Model
    • Ye, K. (1994), “Bayesian Reference Prior Analysis on the Ratio of Variances for the Balanced One-Way Random Effect Model,” Journal of Statistical Planning and Inference, 41, 267-280.
    • (1994) Journal of Statistical Planning and Inference , vol.41 , pp. 267-280
    • Ye, K.1


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