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Volumn 9, Issue 1, 1999, Pages 242-273

Predicting random fields with increasing dense observations

Author keywords

Approximation in Hilbert spaces; Design of time series experiments; Fixed domain asymptotics; Infill asymptotics; Kriging; Sampling theorem

Indexed keywords


EID: 0033438006     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1029962604     Document Type: Article
Times cited : (29)

References (29)
  • 1
    • 0003796630 scopus 로고
    • Academic Press, San Diego
    • ADAMS, R. A. (1978). Sobolev Spaces. Academic Press, San Diego.
    • (1978) Sobolev Spaces
    • Adams, R.A.1
  • 2
    • 0001652965 scopus 로고
    • Sampling designs for time series
    • E. J. Hannan, P. R. Krishnaiah and M. M. Rao, eds. North-Holland, Amsterdam
    • CAMBANIS, S. (1985). Sampling designs for time series. In Time Series in the Time Domain. Handbook of Statistics (E. J. Hannan, P. R. Krishnaiah and M. M. Rao, eds.) 5 337-362. North-Holland, Amsterdam.
    • (1985) Time Series in the Time Domain. Handbook of Statistics , vol.5 , pp. 337-362
    • Cambanis, S.1
  • 3
    • 0025590991 scopus 로고
    • Application of spatial filter theory to kriging
    • CARR, J. R. (1990). Application of spatial filter theory to kriging. Math. Geol. 22 1063-1079.
    • (1990) Math. Geol. , vol.22 , pp. 1063-1079
    • Carr, J.R.1
  • 6
    • 0010789305 scopus 로고
    • Projection with the wrong inner product and its application to regression with correlated errors and linear filtering of time series
    • CLEVELAND, W. S. (1971). Projection with the wrong inner product and its application to regression with correlated errors and linear filtering of time series. Ann. Math. Statist. 42 616-624.
    • (1971) Ann. Math. Statist. , vol.42 , pp. 616-624
    • Cleveland, W.S.1
  • 9
    • 0001575015 scopus 로고
    • A note on optimal and asymptotically optimal designs for certain time series models
    • EUBANK, R. L. SMITH, P. L. and SMITH, P. W. (1982). A note on optimal and asymptotically optimal designs for certain time series models. Ann. Statist. 10 1295-1301.
    • (1982) Ann. Statist. , vol.10 , pp. 1295-1301
    • Eubank, R.L.1    Smith, P.L.2    Smith, P.W.3
  • 11
    • 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
  • 12
    • 84950427374 scopus 로고
    • An approach to statistical spatial-temporal modeling of meteorological fields
    • HANDCOCK, M. S. and WALLIS, J. R. (1994). An approach to statistical spatial-temporal modeling of meteorological fields (with discussion). J. Amer. Statist. Assoc. 89 368-390.
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 368-390
    • Handcock, M.S.1    Wallis, J.R.2
  • 15
    • 0017558676 scopus 로고
    • The Shannon sampling theorem - Its various extensions and applications: A tutorial review
    • JERRI, A. J. (1977). The Shannon sampling theorem - its various extensions and applications: a tutorial review. Proc. IEEE 65 1565-1596.
    • (1977) Proc. IEEE , vol.65 , pp. 1565-1596
    • Jerri, A.J.1
  • 17
    • 0030365056 scopus 로고    scopus 로고
    • Asymptotic optimality of regular sequence designs
    • RITTER, K. (1996). Asymptotic optimality of regular sequence designs. Ann. Statist. 24 2081-2096.
    • (1996) Ann. Statist. , vol.24 , pp. 2081-2096
    • Ritter, K.1
  • 18
    • 84972496336 scopus 로고
    • That BLUP is a good thing: The estimation of random effects
    • ROBINSON, G. K. (1991). That BLUP is a good thing: the estimation of random effects (with discussion). Statist. Sci. 6 15-51.
    • (1991) Statist. Sci. , vol.6 , pp. 15-51
    • Robinson, G.K.1
  • 19
    • 0002932504 scopus 로고
    • Designs for regression problems with correlated errors
    • SACKS, J. and YLVISAKER, D. (1966). Designs for regression problems with correlated errors. Ann. Math. Statist. 37 66-89.
    • (1966) Ann. Math. Statist. , vol.37 , pp. 66-89
    • Sacks, J.1    Ylvisaker, D.2
  • 20
    • 0001880413 scopus 로고
    • Designs for regression problems with correlated errors: Many parameters
    • SACKS, J. and YLVISAKER, D. (1968). Designs for regression problems with correlated errors: many parameters. Ann. Math. Statist. 39 49-69.
    • (1968) Ann. Math. Statist. , vol.39 , pp. 49-69
    • Sacks, J.1    Ylvisaker, D.2
  • 21
    • 0000006130 scopus 로고
    • Designs for regression problems with correlated errors III
    • SACKS, J. and YLVISAKER, D. (1970). Designs for regression problems with correlated errors III. Ann. Math. Statist. 41 2057-2074.
    • (1970) Ann. Math. Statist. , vol.41 , pp. 2057-2074
    • Sacks, J.1    Ylvisaker, D.2
  • 23
    • 0039080431 scopus 로고
    • Rejoinder to "Comment on 'Estimation of the generalized covariance function. II. A response surface approach' by Thomas H. Starks and Allen R. Sparks."
    • STARKS, T. H. and SPARKS, A. R. (1987). Rejoinder to "Comment on 'Estimation of the generalized covariance function. II. A response surface approach' by Thomas H. Starks and Allen R. Sparks." Math. Geol. 19 789-792.
    • (1987) Math. Geol. , vol.19 , pp. 789-792
    • Starks, T.H.1    Sparks, A.R.2
  • 24
    • 0001761150 scopus 로고
    • Uniform asymptotic optimality of linear predictions of a random field using an incorrect second-order structure
    • STEIN, M. L. (1990a). Uniform asymptotic optimality of linear predictions of a random field using an incorrect second-order structure. Ann. Statist. 18 850-872.
    • (1990) Ann. Statist. , vol.18 , pp. 850-872
    • Stein, M.L.1
  • 25
    • 0010789761 scopus 로고
    • Bounds on the efficiency of linear predictions using an incorrect covariance function
    • STEIN, M. L. (1990b). Bounds on the efficiency of linear predictions using an incorrect covariance function. Ann. Statist. 18 1116-1138.
    • (1990) Ann. Statist. , vol.18 , pp. 1116-1138
    • Stein, M.L.1
  • 26
    • 38249003429 scopus 로고
    • A simple condition for asymptotic optimality of linear predictions of random fields
    • STEIN, M. L. (1993). A simple condition for asymptotic optimality of linear predictions of random fields. Statist. Probab. Lett. 17 399-404.
    • (1993) Statist. Probab. Lett. , vol.17 , pp. 399-404
    • Stein, M.L.1
  • 27
    • 0031536997 scopus 로고    scopus 로고
    • Efficiency of linear predictors for periodic processes using an incorrect covariance function
    • STEIN, M. L. (1997). Efficiency of linear predictors for periodic processes using an incorrect covariance function. J. Statist. Plann. Inference 58 321-331.
    • (1997) J. Statist. Plann. Inference , vol.58 , pp. 321-331
    • Stein, M.L.1
  • 28
    • 0040642711 scopus 로고
    • Regression design for some equivalence classes of kernels
    • WAHBA, G. (1974). Regression design for some equivalence classes of kernels. Ann. Statist. 2 925-934.
    • (1974) Ann. Statist. , vol.2 , pp. 925-934
    • Wahba, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.