메뉴 건너뛰기




Volumn 22, Issue 1, 2013, Pages 97-112

Discussing the "big n problem"

Author keywords

INLA; Large spatial data sets; Spatial statistics; SPDE; Tapering

Indexed keywords


EID: 84874691303     PISSN: 16182510     EISSN: 1613981X     Source Type: Journal    
DOI: 10.1007/s10260-012-0207-2     Document Type: Article
Times cited : (33)

References (30)
  • 1
    • 83655201401 scopus 로고    scopus 로고
    • Bayesian modeling for large spatial datasets
    • Banerjee S, Fuentes M: Bayesian modeling for large spatial datasets. WIREs Comput Stat 4, 59-66 (2012).
    • (2012) WIREs Comput Stat , vol.4 , pp. 59-66
    • Banerjee, S.1    Fuentes, M.2
  • 3
    • 47649103974 scopus 로고    scopus 로고
    • Gaussian predictive process models for large spatial data sets
    • doi:10.1111/j.1467-9868.2008.00663.x
    • Banerjee S, Gelfand A, Finley A, Sang H: Gaussian predictive process models for large spatial data sets. J R Stat Soc Ser B (Stat Methodol) 70, 825-848 (2008). doi: 10. 1111/j. 1467-9868. 2008. 00663. x.
    • (2008) J R Stat Soc Ser B (Stat Methodol) , vol.70 , pp. 825-848
    • Banerjee, S.1    Gelfand, A.2    Finley, A.3    Sang, H.4
  • 6
    • 37849041594 scopus 로고    scopus 로고
    • Fixed rank kriging for very large spatial data sets
    • doi:10.1111/j.1467-9868.2007.00633.x
    • Cressie N, Johannesson G: Fixed rank kriging for very large spatial data sets. J R Stat Soc Ser B (Stat Methodol) 70, 209-226 (2008). doi: 10. 1111/j. 1467-9868. 2007. 00633. x.
    • (2008) J R Stat Soc Ser B (Stat Methodol) , vol.70 , pp. 209-226
    • Cressie, N.1    Johannesson, G.2
  • 7
    • 62849106305 scopus 로고    scopus 로고
    • Improving the performance of predictive process modeling for large datasets
    • doi:10.1016/j.csda.2008.09.008
    • Finley A, Sang H, Banerjee S, Gelfand A: Improving the performance of predictive process modeling for large datasets. Computat Stat Data Anal 53, 2873-2884 (2009). doi: 10. 1016/j. csda. 2008. 09. 008.
    • (2009) Computat Stat Data Anal , vol.53 , pp. 2873-2884
    • Finley, A.1    Sang, H.2    Banerjee, S.3    Gelfand, A.4
  • 8
    • 33947194951 scopus 로고    scopus 로고
    • Approximate likelihood for large irregularly spaced spatial data
    • doi:10.1198/016214506000000852
    • Fuentes M: Approximate likelihood for large irregularly spaced spatial data. J Am Stat Assoc 102, 321-331 (2007). doi: 10. 1198/016214506000000852.
    • (2007) J Am Stat Assoc , vol.102 , pp. 321-331
    • Fuentes, M.1
  • 9
    • 33750007327 scopus 로고    scopus 로고
    • Covariance tapering for interpolation of large spatial datasets
    • doi:10.1198/106186006X132178
    • Furrer R, Genton MG, Nychka D: Covariance tapering for interpolation of large spatial datasets. J Comput Graph Stat 15, 502-523 (2006). doi: 10. 1198/106186006X132178.
    • (2006) J Comput Graph Stat , vol.15 , pp. 502-523
    • Furrer, R.1    Genton, M.G.2    Nychka, D.3
  • 10
    • 21344434511 scopus 로고
    • Local prediction of a spatio-temporal process with an application to wet sulfate deposition
    • Haas T: Local prediction of a spatio-temporal process with an application to wet sulfate deposition. J Am Stat Assoc 90, 1189-1199 (1995).
    • (1995) J Am Stat Assoc , vol.90 , pp. 1189-1199
    • Haas, T.1
  • 11
    • 0000439277 scopus 로고    scopus 로고
    • Non-stationary spatial modeling
    • Higdon D, Swall J, Kern J: Non-stationary spatial modeling. Bayesian Stat 6, 761-768 (1998).
    • (1998) Bayesian Stat , vol.6 , pp. 761-768
    • Higdon, D.1    Swall, J.2    Kern, J.3
  • 13
    • 70049091991 scopus 로고    scopus 로고
    • Covariance tapering for likelihood based estimation in large spatial data set
    • Kaufman C, Schervish M, Nychka D: Covariance tapering for likelihood based estimation in large spatial data set. J Am Stat Assoc 103, 1545-1555 (2008).
    • (2008) J Am Stat Assoc , vol.103 , pp. 1545-1555
    • Kaufman, C.1    Schervish, M.2    Nychka, D.3
  • 14
    • 84874754002 scopus 로고    scopus 로고
    • Explicit construction of GMRF approximations to generalised Matérn fields on irregular grids
    • Lindgren F, Rue H: Explicit construction of GMRF approximations to generalised Matérn fields on irregular grids. Scand J Stat 35, 691-700 (2007).
    • (2007) Scand J Stat , vol.35 , pp. 691-700
    • Lindgren, F.1    Rue, H.2
  • 15
    • 79961050814 scopus 로고    scopus 로고
    • An explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach
    • doi:10.1111/j.1467-9868.2011.00777.x
    • Lindgren F, Rue H, Lindström J: An explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach. J R Stat Soc Ser B (Stat Methodol) 73, 423-498 (2011). doi: 10. 1111/j. 1467-9868. 2011. 00777. x.
    • (2011) J R Stat Soc Ser B (Stat Methodol) , vol.73 , pp. 423-498
    • Lindgren, F.1    Rue, H.2    Lindström, J.3
  • 20
    • 0036522614 scopus 로고    scopus 로고
    • Fitting Gaussian Markov random fields to Gaussian fields
    • doi: 10. 1111/1467-9469. 00058
    • Rue H, Tjelmeland H (2002) Fitting Gaussian Markov random fields to Gaussian fields. Scand J Stat, pp 31-49. doi: 10. 1111/1467-9469. 00058.
    • (2002) Scand J Stat , pp. 31-49
    • Rue, H.1    Tjelmeland, H.2
  • 21
    • 62849120031 scopus 로고    scopus 로고
    • Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations
    • doi:10.1111/j.1467-9868.2008.00700.x
    • Rue H, Martino S, Chopin N: Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations. J R Stat Soc Ser B (Stat Methodol) 71, 319-392 (2009). doi: 10. 1111/j. 1467-9868. 2008. 00700. x.
    • (2009) J R Stat Soc Ser B (Stat Methodol) , vol.71 , pp. 319-392
    • Rue, H.1    Martino, S.2    Chopin, N.3
  • 22
    • 0000832522 scopus 로고
    • Nonparametric estimation of nonstationary spatial covariance structure
    • doi:10.2307/2290458
    • Sampson P, Guttorp P: Nonparametric estimation of nonstationary spatial covariance structure. J Am Stat Assoc 87, 108-119 (1992). doi: 10. 2307/2290458.
    • (1992) J Am Stat Assoc , vol.87 , pp. 108-119
    • Sampson, P.1    Guttorp, P.2
  • 23
    • 84862538995 scopus 로고    scopus 로고
    • Tapered covariance: Bayesian estimation and asymptotics
    • Shaby B, Ruppert D (2012) Tapered covariance: Bayesian estimation and asymptotics. J Comput Graph Stat 21: 433-452.
    • (2012) J Comput Graph Stat , vol.21 , pp. 433-452
    • Shaby, B.1    Ruppert, D.2
  • 26
    • 0346847275 scopus 로고
    • Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
    • doi:10.1007/BF02123482
    • Wendland H: Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Adv Comput Math 4, 389-396 (1995). doi: 10. 1007/BF02123482.
    • (1995) Adv Comput Math , vol.4 , pp. 389-396
    • Wendland, H.1
  • 27
    • 0001760833 scopus 로고
    • On stationary processes in the plane
    • doi: 10. 2307/2332724
    • Whittle P (1954) On stationary processes in the plane. Biometrika 41. doi: 10. 2307/2332724.
    • (1954) Biometrika 41
    • Whittle, P.1
  • 28
    • 0008976275 scopus 로고
    • Stochastic processes in several dimensions
    • Whittle P: Stochastic processes in several dimensions. Bull Int Stat Inst 40, 974-994 (1963).
    • (1963) Bull Int Stat Inst , vol.40 , pp. 974-994
    • Whittle, P.1
  • 29
    • 2142734871 scopus 로고    scopus 로고
    • Inconsistent estimation and asymptotically equal interpolations in model-based geostatistics
    • Zhang H: Inconsistent estimation and asymptotically equal interpolations in model-based geostatistics. J Am Stat Assoc 99, 250-261 (2004).
    • (2004) J Am Stat Assoc , vol.99 , pp. 250-261
    • Zhang, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.