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Volumn 8, Issue 2, 2006, Pages 159-189

Smoothness properties and gradient analysis under spatial Dirichlet process models

Author keywords

Bayesian nonparametrics; Directional derivatives; Dirichlet process mixture models; Finite differences; Mat rn correlation function; Nonstationarity

Indexed keywords


EID: 33747046152     PISSN: 13875841     EISSN: 15737713     Source Type: Journal    
DOI: 10.1007/s11009-006-8547-8     Document Type: Review
Times cited : (6)

References (32)
  • 2
    • 33845295405 scopus 로고    scopus 로고
    • "Random fields and their geometry"
    • Unpublished
    • R. J. Adler, and J. E. Taylor, "Random fields and their geometry," Unpublished, 2003.
    • (2003)
    • Adler, R.J.1    Taylor, J.E.2
  • 7
    • 0000904732 scopus 로고    scopus 로고
    • "A semiparametric Bayesian model for randomised block designs"
    • C. A. Bush, and S. N. MacEachern, "A semiparametric Bayesian model for randomised block designs," Biometrika vol. 83 pp. 275-285, 1996.
    • (1996) Biometrika , vol.83 , pp. 275-285
    • Bush, C.A.1    MacEachern, S.N.2
  • 8
    • 0035095797 scopus 로고    scopus 로고
    • "Bayesian estimation of semi-parametric non-stationary spatial covariance structures"
    • D. Damian, P. Sampson, and P. Guttorp, "Bayesian estimation of semi-parametric non-stationary spatial covariance structures," Environmetrics vol. 12 pp. 161-178, 2001.
    • (2001) Environmetrics , vol.12 , pp. 161-178
    • Damian, D.1    Sampson, P.2    Guttorp, P.3
  • 10
    • 0040843494 scopus 로고    scopus 로고
    • "Model-based geostatistics (with discussion)"
    • P. J. Diggle, J. A. Tawn, and R. A. Moyeed, "Model-based geostatistics (with discussion)," Applied Statistics vol. 47 pp. 299-350, 1998.
    • (1998) Applied Statistics , vol.47 , pp. 299-350
    • Diggle, P.J.1    Tawn, J.A.2    Moyeed, R.A.3
  • 12
    • 21344479762 scopus 로고
    • "Estimating normal means with a Dirichlet process prior"
    • M. D. Escobar, "Estimating normal means with a Dirichlet process prior," Journal of the American Statistical Association vol. 89 pp. 268-277, 1994.
    • (1994) Journal of the American Statistical Association , vol.89 , pp. 268-277
    • Escobar, M.D.1
  • 14
    • 0001120413 scopus 로고
    • "A Bayesian analysis of some nonparametric problems"
    • T. S. Ferguson, "A Bayesian analysis of some nonparametric problems," The Annals of Statistics vol. 1 pp. 209-230, 1973.
    • (1973) The Annals of Statistics , vol.1 , pp. 209-230
    • Ferguson, T.S.1
  • 15
    • 13444287482 scopus 로고    scopus 로고
    • "A new class of nonstationary spatial models"
    • Technical report, Department of Statistics, North Carolina State University
    • M. Fuentes, and R. L. Smith, "A new class of nonstationary spatial models," Technical report, Department of Statistics, North Carolina State University, 2001.
    • (2001)
    • Fuentes, M.1    Smith, R.L.2
  • 18
    • 0033074585 scopus 로고    scopus 로고
    • "Posterior consistency of Dirichlet mixture in density estimation"
    • S. Ghosal, J. K. Ghosh, and R. V. Ramamoorthi, "Posterior consistency of Dirichlet mixture in density estimation," The Annals of Statistics vol. 27 pp. 143-158, 1999.
    • (1999) The Annals of Statistics , vol.27 , pp. 143-158
    • Ghosal, S.1    Ghosh, J.K.2    Ramamoorthi, R.V.3
  • 19
    • 84952117554 scopus 로고
    • "A Baesian analysis of kriging"
    • M. S. Handcock, and M. Stein, "A Baesian analysis of kriging," Technometrics vol. 35(4) pp. 403-410, 1993.
    • (1993) Technometrics , vol.35 , Issue.4 , pp. 403-410
    • Handcock, M.S.1    Stein, M.2
  • 21
    • 0000439277 scopus 로고    scopus 로고
    • "Non-stationary spatial modeling"
    • In J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith (eds.) Oxford University Press: Oxford
    • D Higdon, J. Swall, and J. Kern, "Non-stationary spatial modeling." In J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith (eds.), Bayesian Statistics 6, Oxford University Press: Oxford, 1999.
    • (1999) Bayesian Statistics , vol.6
    • Higdon, D.1    Swall, J.2    Kern, J.3
  • 22
    • 0036623091 scopus 로고    scopus 로고
    • "Exact and approximate sum-representations for the Dirichlet process"
    • H. Ishwaran, and M. Zarepour, "Exact and approximate sum-representations for the Dirichlet process," Canadian Journal of Statistics vol. 30 pp. 269-283, 2002.
    • (2002) Canadian Journal of Statistics , vol.30 , pp. 269-283
    • Ishwaran, H.1    Zarepour, M.2
  • 23
    • 0013537418 scopus 로고
    • "Continuity properties of random fields"
    • J. T. Kent, "Continuity properties of random fields," Annals of Probability vol. 17 pp. 1432-1440, 1989.
    • (1989) Annals of Probability , vol.17 , pp. 1432-1440
    • Kent, J.T.1
  • 24
    • 24644475726 scopus 로고    scopus 로고
    • Dependent Dirichlet processes
    • Technical report, Department of Statistics, The Ohio State University
    • S. N. MacEachern, Dependent Dirichlet processes. Technical report, Department of Statistics, The Ohio State University, 2000.
    • (2000)
    • MacEachern, S.N.1
  • 27
    • 0004256437 scopus 로고
    • 2nd edition, Springer Verlag: Berlin
    • B. Matern, Spatial Variation, 2nd edition, Springer Verlag: Berlin, 1986.
    • (1986) Spatial Variation
    • Matern, B.1
  • 28
    • 33747069765 scopus 로고    scopus 로고
    • "Non-gaussian Bayesian geostatistical modeling"
    • Warwick Statistics Research report 426, University of Warwick
    • M. B. Palacios, and M. F. J. Steel, "Non-gaussian Bayesian geostatistical modeling," Warwick Statistics Research report 426, University of Warwick, 2004.
    • (2004)
    • Palacios, M.B.1    Steel, M.F.J.2
  • 29
    • 0000832522 scopus 로고
    • "Nonparametric estimation of nonstationary spatial covariance structure"
    • P. D. Sampson, and P. Guttorp, "Nonparametric estimation of nonstationary spatial covariance structure," Journal of the American Statistical Association vol. 87(417) pp. 108-119, 1992.
    • (1992) Journal of the American Statistical Association , vol.87 , Issue.417 , pp. 108-119
    • Sampson, P.D.1    Guttorp, P.2
  • 31
    • 0000720609 scopus 로고
    • "A constructive definition of Dirichlet priors"
    • J. Sethuraman, "A constructive definition of Dirichlet priors," Statistica Sinica vol. 4 pp. 639-650, 1994.
    • (1994) Statistica Sinica , vol.4 , pp. 639-650
    • Sethuraman, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.