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Volumn 21, Issue 2, 2012, Pages 433-452

Tapered covariance: Bayesian estimation and asymptotics

Author keywords

Bayesian inference; Consistency; Covariance estimation; Gaussian process; Tapering

Indexed keywords


EID: 84862538995     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1080/10618600.2012.680819     Document Type: Article
Times cited : (63)

References (35)
  • 2
    • 0442325011 scopus 로고    scopus 로고
    • Bayesian Analysis: A Look at Today and Thoughts of Tomorrow
    • [434]
    • Berger, J. O. (2000), "Bayesian Analysis: A Look at Today and Thoughts of Tomorrow, " Journal of the American Statistical Association, 95, 1269-1276. [434]
    • (2000) Journal of the American Statistical Association , vol.95 , pp. 1269-1276
    • Berger, J.O.1
  • 3
    • 0001649036 scopus 로고
    • On a Measure of Efficiency of an Estimating Equation
    • Series A, [436,439]
    • Bhapkar, V. P. (1972), "On a Measure of Efficiency of an Estimating Equation, " Sankhy-a, Series A, 34, 467-472. [436,439]
    • (1972) Sankhy-a , vol.34 , pp. 467-472
    • Bhapkar, V.P.1
  • 4
    • 0347354945 scopus 로고    scopus 로고
    • AnMCMCApproach to Classical Estimation
    • [446,446,447]
    • Chernozhukov, V., andHong, H. (2003), "AnMCMCApproach to Classical Estimation, " Journal of Econometrics, 115, 293-346. [446,446,447]
    • (2003) Journal of Econometrics , vol.115 , pp. 293-346
    • Chernozhukov, V.1    Hong, H.2
  • 6
    • 37849041594 scopus 로고    scopus 로고
    • Fixed Rank Kriging for Very Large Spatial Data Sets
    • Series B, [434]
    • Cressie, N., and Johannesson, G. (2008), "Fixed Rank Kriging for Very Large Spatial Data Sets, " Journal of the Royal Statistical Society, Series B, 70, 209-226. [434]
    • (2008) Journal of the Royal Statistical Society , vol.70 , pp. 209-226
    • Cressie, N.1    Johannesson, G.2
  • 8
    • 70049089877 scopus 로고    scopus 로고
    • Fixed-Domain Asymptotic Properties of Tapered Maximum Likelihood Estimators
    • [433,434,436]
    • Du, J., Zhang, H., and Mandrekar, V. (2009), "Fixed-Domain Asymptotic Properties of Tapered Maximum Likelihood Estimators, " The Annals of Statistics, 37, 3330-3361. [433,434,436]
    • (2009) The Annals of Statistics , vol.37 , pp. 3330-3361
    • Du, J.1    Zhang, H.2    Mandrekar, V.3
  • 9
    • 0000585353 scopus 로고
    • Estimation of Parameters in Time-Series Regression Models
    • Series B, [436,439]
    • Durbin, J. (1960), "Estimation of Parameters in Time-Series Regression Models, " Journal of the Royal Statistical Society, Series B, 22, 139-153. [436,439]
    • (1960) Journal of the Royal Statistical Society , vol.22 , pp. 139-153
    • Durbin, J.1
  • 11
    • 62849106305 scopus 로고    scopus 로고
    • Improving the Performance of Predictive Process Modeling for Large Datasets
    • [434]
    • Finley, A., Sang, H., Banerjee, S., and Gelfand, A. (2009), "Improving the Performance of Predictive Process Modeling for Large Datasets, " Computational Statistics & Data Analysis, 53, 2873-2884. [434]
    • (2009) Computational Statistics & Data Analysis , vol.53 , pp. 2873-2884
    • Finley, A.1    Sang, H.2    Banerjee, S.3    Gelfand, A.4
  • 12
    • 33947194951 scopus 로고    scopus 로고
    • Approximate Likelihood for Large Irregularly Spaced Spatial Data
    • [434]
    • Fuentes, M. (2007), "Approximate Likelihood for Large Irregularly Spaced Spatial Data, " Journal of the American Statistical Association, 102, 321-331. [434]
    • (2007) Journal of the American Statistical Association , vol.102 , pp. 321-331
    • Fuentes, M.1
  • 13
    • 33750502680 scopus 로고    scopus 로고
    • Estimation of High-Dimensional Prior and Posterior Covariance Matrices in Kalman Filter Variants
    • [433]
    • Furrer, R., and Bengtsson, T. (2007), "Estimation of High-Dimensional Prior and Posterior Covariance Matrices in Kalman Filter Variants, " Journal of Multivariate Analysis, 98, 227-255. [433]
    • (2007) Journal of Multivariate Analysis , vol.98 , pp. 227-255
    • Furrer, R.1    Bengtsson, T.2
  • 15
    • 59849116212 scopus 로고    scopus 로고
    • Spatial Model Fitting for Large Datasets With Applications to Climate and Microarray Problems
    • [433]
    • Furrer, R., and Sain, S. (2009), "Spatial Model Fitting for Large Datasets With Applications to Climate and Microarray Problems, " Statistics and Computing, 19, 113-128. [433]
    • (2009) Statistics and Computing , vol.19 , pp. 113-128
    • Furrer, R.1    Sain, S.2
  • 16
    • 0000390402 scopus 로고
    • Quasi-Likelihood and Optimal Estimation
    • [436,439]
    • Godambe, V. P., and Heyde, C. C. (1987), "Quasi-Likelihood and Optimal Estimation, " International Statistical Review, 55, 231-244. [436,439]
    • (1987) International Statistical Review , vol.55 , pp. 231-244
    • Godambe, V.P.1    Heyde, C.C.2
  • 20
    • 1542784440 scopus 로고    scopus 로고
    • A Note on the Efficiency of Sandwich Covariance Matrix Estimation
    • [436]
    • Kauermann, G., and Carroll, R. J. (2001), "A Note on the Efficiency of Sandwich Covariance Matrix Estimation, " Journal of the American Statistical Association, 96, 1387-1396. [436]
    • (2001) Journal of the American Statistical Association , vol.96 , pp. 1387-1396
    • Kauermann, G.1    Carroll, R.J.2
  • 22
    • 70049091991 scopus 로고    scopus 로고
    • Covariance Tapering for Likelihood-Based Estimation in Large Spatial Datasets
    • [433,434,436,436,441,443,449]
    • Kaufman, C., Schervish, M., and Nychka, D. (2008), "Covariance Tapering for Likelihood-Based Estimation in Large Spatial Datasets, " Journal of the American Statistical Association, 103, 1545-1569. [433,434,436,436,441,443,449]
    • (2008) Journal of the American Statistical Association , vol.103 , pp. 1545-1569
    • Kaufman, C.1    Schervish, M.2    Nychka, D.3
  • 23
    • 0001196683 scopus 로고
    • Maximum Likelihood Estimation of Models for Residual Covariance in Spatial Regression
    • [435,436]
    • Mardia, K. V., and Marshall, R. J. (1984), "Maximum Likelihood Estimation of Models for Residual Covariance in Spatial Regression, " Biometrika, 71, 135-146. [435,436]
    • (1984) Biometrika , vol.71 , pp. 135-146
    • Mardia, K.V.1    Marshall, R.J.2
  • 24
    • 58149345980 scopus 로고    scopus 로고
    • Fourier Analysis of Irregularly Spaced Data on Rd
    • Series B, [434]
    • Matsuda, Y., and Yajima, Y. (2009), "Fourier Analysis of Irregularly Spaced Data on Rd, " Journal of the Royal Statistical Society, Series B, 71, 191-217. [434]
    • (2009) Journal of the Royal Statistical Society , vol.71 , pp. 191-217
    • Matsuda, Y.1    Yajima, Y.2
  • 25
    • 0041719080 scopus 로고
    • Efficiency of Estimating Equations and the Use of Pivots
    • [436,439]
    • Morton, R. (1981), "Efficiency of Estimating Equations and the Use of Pivots, " Biometrika, 68, 227-233. [436,439]
    • (1981) Biometrika , vol.68 , pp. 227-233
    • Morton, R.1
  • 27
    • 2442600120 scopus 로고    scopus 로고
    • Approximating Likelihoods for Large Spatial Data Sets
    • Series B, [434,441]
    • Stein, M. L., Chi, Z., and Welty, L. J. (2004), "Approximating Likelihoods for Large Spatial Data Sets, " Journal of the Royal Statistical Society, Series B, 66, 275-296. [434,441]
    • (2004) Journal of the Royal Statistical Society , vol.66 , pp. 275-296
    • Stein, M.L.1    Chi, Z.2    Welty, L.J.3
  • 28
    • 0000497615 scopus 로고
    • Estimation and Model Identification for Continuous Spatial Processes
    • Series B, [434]
    • Vecchia, A. V. (1988), "Estimation and Model Identification for Continuous Spatial Processes, " Journal of the Royal Statistical Society, Series B, 50, 297-312. [434]
    • (1988) Journal of the Royal Statistical Society , vol.50 , pp. 297-312
    • Vecchia, A.V.1
  • 29
    • 0346847275 scopus 로고
    • Piecewise Polynomial, Positive Definite and Compactly Supported Radial Functions of Minimal Degree
    • [435,441,448,449]
    • Wendland, H. (1995), "Piecewise Polynomial, Positive Definite and Compactly Supported Radial Functions of Minimal Degree, " Advances in Computational Mathematics, 4, 389-396. [435,441,448,449]
    • (1995) Advances in Computational Mathematics , vol.4 , pp. 389-396
    • Wendland, H.1
  • 30
    • 0000764217 scopus 로고    scopus 로고
    • Error Estimates for Interpolation by Compactly Supported Radial Basis Functions of Minimal Degree
    • [435,449]
    • Wendland, H. (1998), "Error Estimates for Interpolation by Compactly Supported Radial Basis Functions of Minimal Degree, " Journal of Approximation Theory, 93, 258-272. [435,449]
    • (1998) Journal of Approximation Theory , vol.93 , pp. 258-272
    • Wendland, H.1
  • 31
    • 0001760833 scopus 로고
    • On Stationary Processes in the Plane
    • [434]
    • Whittle, P. (1954), "On Stationary Processes in the Plane, " Biometrika, 41, 434-449. [434]
    • (1954) Biometrika , vol.41 , pp. 434-449
    • Whittle, P.1
  • 32
    • 2142734871 scopus 로고    scopus 로고
    • Inconsistent Estimation and Asymptotically Equal Interpolations in Model-Based Geostatistics
    • [435,436,441,450]
    • Zhang, H. (2004), "Inconsistent Estimation and Asymptotically Equal Interpolations in Model-Based Geostatistics, " Journal of the American Statistical Association, 99, 250-261. [435,436,441,450]
    • (2004) Journal of the American Statistical Association , vol.99 , pp. 250-261
    • Zhang, H.1
  • 33
    • 77952329048 scopus 로고    scopus 로고
    • Covariance Tapering in Spatial Statistics
    • in, eds. J. Mateu and E. Porcu, Spain: Gŕaficas Casta n, s.l. [433,434,436]
    • Zhang, H., and Du, J. (2008), "Covariance Tapering in Spatial Statistics, " in Positive Definite Functions: From Schoenberg to Space-Time Challenges, eds. J. Mateu and E. Porcu, Spain: Gŕaficas Casta n, s.l. [433,434,436]
    • (2008) Positive Definite Functions: From Schoenberg to Space-Time Challenges
    • Zhang, H.1    Du, J.2
  • 34
    • 27944497893 scopus 로고    scopus 로고
    • Towards Reconciling Two Asymptotic Frameworks in Spatial Statistics
    • [435,450]
    • Zhang, H., and Zimmerman, D. L. (2005), "Towards Reconciling Two Asymptotic Frameworks in Spatial Statistics, " Biometrika, 92, 921-936. [435,450]
    • (2005) Biometrika , vol.92 , pp. 921-936
    • Zhang, H.1    Zimmerman, D.L.2
  • 35
    • 0001929873 scopus 로고
    • Computationally Exploitable Structure of Covariance Matrices and Generalized Covariance Matrices in Spatial Models
    • [434]
    • Zimmerman, D. L. (1989), "Computationally Exploitable Structure of Covariance Matrices and Generalized Covariance Matrices in Spatial Models, " Journal of Statistical Computation and Simulation, 32, 1-15. [434]
    • (1989) Journal of Statistical Computation and Simulation , vol.32 , pp. 1-15
    • Zimmerman, D.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.