메뉴 건너뛰기




Volumn 26, Issue 6, 1998, Pages 2264-2288

Spatial adaption for predicting random functions

Author keywords

Asymptotically optimal designs; Integral estimation; Nonparametric model; Reconstruction; Spatial adaption; Unknown smoothness

Indexed keywords


EID: 0040579771     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1024691470     Document Type: Article
Times cited : (7)

References (30)
  • 1
  • 2
    • 0001492843 scopus 로고
    • Sampling designs for estimating integrals of stochastic processes
    • BENHENNI, K. and CAMBANIS, S. (1992). Sampling designs for estimating integrals of stochastic processes. Ann. Statist. 20 161-194.
    • (1992) Ann. Statist. , vol.20 , pp. 161-194
    • Benhenni, K.1    Cambanis, S.2
  • 3
    • 0040785995 scopus 로고
    • Sojourns and extremes of gaussian processes
    • BERMAN, S. M. (1974). Sojourns and extremes of Gaussian processes. Ann. Probab. 2 999-1026.
    • (1974) Ann. Probab. , vol.2 , pp. 999-1026
    • Berman, S.M.1
  • 5
    • 0001269418 scopus 로고
    • Bounds on moments of certain random variables
    • DHARMADHIKARI, S. W. and JOGDEO, K. (1969). Bounds on moments of certain random variables. Ann. Math. Statist. 40 1506-1508.
    • (1969) Ann. Math. Statist. , vol.40 , pp. 1506-1508
    • Dharmadhikari, S.W.1    Jogdeo, K.2
  • 6
    • 0041958932 scopus 로고
    • Ideal spatial adaption by wavelet shrinkage
    • DONOHO, D. L. and JOHNSTONE, I. M. (1994). Ideal spatial adaption by wavelet shrinkage. Biometrika 81 425-455.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.L.1    Johnstone, I.M.2
  • 7
    • 0001351522 scopus 로고
    • Topics in spatial statistics (with discussion)
    • HJORT, N. L. and OMRE, H. (1994). Topics in spatial statistics (with discussion). Scand. J. Statist. 21 289-357.
    • (1994) Scand. J. Statist. , vol.21 , pp. 289-357
    • Hjort, N.L.1    Omre, H.2
  • 8
    • 0030494879 scopus 로고    scopus 로고
    • Estimating the singularity function of a gaussian process with applications
    • ISTAS, J. (1996). Estimating the singularity function of a Gaussian process with applications. Scand. J. Statist. 23 581-595.
    • (1996) Scand. J. Statist. , vol.23 , pp. 581-595
    • Istas, J.1
  • 9
    • 3142571216 scopus 로고    scopus 로고
    • Estimating functionals of a stochastic process
    • ISTAS, J. and LAREDO, C. (1997). Estimating functionals of a stochastic process. Adv. in Appl. Probab. 29 249-270.
    • (1997) Adv. in Appl. Probab. , vol.29 , pp. 249-270
    • Istas, J.1    Laredo, C.2
  • 10
    • 50049107306 scopus 로고    scopus 로고
    • Computer experiments
    • (S. Gosh and C. R. Rao, eds.) 13 North Holland, Amsterdam
    • KOEHLER, J. R. and OWEN, A. B. (1996). Computer Experiments. In Handbook of Statistics 13 (S. Gosh and C. R. Rao, eds.) 13 261-308. North Holland, Amsterdam.
    • (1996) Handbook of Statistics , vol.13 , pp. 261-308
    • Koehler, J.R.1    Owen, A.B.2
  • 11
    • 0030080044 scopus 로고    scopus 로고
    • Optimal designs for approximating the path of a stochastic process
    • MÜLLER-GRONBACH, T. (1996a). Optimal designs for approximating the path of a stochastic process. J. Statist. Plann. Inference 49 371-385.
    • (1996) J. Statist. Plann. Inference , vol.49 , pp. 371-385
    • Müller-Gronbach, T.1
  • 12
    • 3342936029 scopus 로고    scopus 로고
    • Optimal designs for approximating the path of a stochastic process with respect to a minimax criterion
    • MÜLLER-GRONBACH, T. (1996b). Optimal designs for approximating the path of a stochastic process with respect to a minimax criterion. Statistics 27 279-296.
    • (1996) Statistics , vol.27 , pp. 279-296
    • Müller-Gronbach, T.1
  • 13
    • 85029968512 scopus 로고    scopus 로고
    • Hyperbolic cross designs for approximation of random fields
    • MÜLLER-GRONBACH, T. (1997). Hyperbolic cross designs for approximation of random fields. J. Statist. Plann. Inference 49 371-385.
    • (1997) J. Statist. Plann. Inference , vol.49 , pp. 371-385
    • Müller-Gronbach, T.1
  • 19
    • 0030365056 scopus 로고    scopus 로고
    • Asymptotic optimality of regular sequence designs
    • RITTER, K. (1996b). Asymptotic optimality of regular sequence designs. Ann. Statist. 24 2081-2096.
    • (1996) Ann. Statist. , vol.24 , pp. 2081-2096
    • Ritter, K.1
  • 20
    • 0001231555 scopus 로고
    • Multivariate integration and approximation for random fields satisfying Sacks-Ylvisaker conditions
    • RITTER, K., WASILKOWSKI, G. W. and WOŹNIAKOWSKI, H. (1995). Multivariate integration and approximation for random fields satisfying Sacks-Ylvisaker conditions. Ann. Appl. Probab. 5 518-540.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 518-540
    • Ritter, K.1    Wasilkowski, G.W.2    Woźniakowski, H.3
  • 21
    • 84972517827 scopus 로고
    • Design and analysis of computer experiments (with discussion)
    • SACKS, J., WELCH, W. J., MITCHELL, T. J. and WYNN, H. P. (1989). Design and analysis of computer experiments (with discussion). Statist. Sci. 4 409-435.
    • (1989) Statist. Sci. , vol.4 , pp. 409-435
    • Sacks, J.1    Welch, W.J.2    Mitchell, T.J.3    Wynn, H.P.4
  • 22
    • 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
  • 26
    • 0010789761 scopus 로고
    • Bounds on the efficiency of linear predictions using an incorrect covariance function
    • STEIN, M. (1990). 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.1
  • 27
    • 0000048671 scopus 로고
    • Predicting integrals of stochastic processes
    • STEIN, M. (1995a). Predicting integrals of stochastic processes. Ann. Appl. Probab. 5 158-170.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 158-170
    • Stein, M.1
  • 28
    • 14944384591 scopus 로고
    • Locally lattice sampling designs for isotropic random fields
    • STEIN, M. (1995b). Locally lattice sampling designs for isotropic random fields. Ann. Statist. 23 1991-2012.
    • (1995) Ann. Statist. , vol.23 , pp. 1991-2012
    • Stein, M.1
  • 29
    • 38249002021 scopus 로고
    • Sampling designs for estimation of a random process
    • Su, Y. and CAMBANIS, S. (1993). Sampling designs for estimation of a random process. Stochastic Process. Appl. 46 47-89.
    • (1993) Stochastic Process. Appl. , vol.46 , pp. 47-89
    • Su, Y.A.1    Cambanis, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.