메뉴 건너뛰기




Volumn 44, Issue 1, 1996, Pages 239-258

On optimal allocations for estimating the surface of a random field

Author keywords

Approximation of random fields; Asymptotically optimal designs; Integrated mean squared error; Product type; Reproducing kernel Hubert space; Sacks Ylvisaker conditions

Indexed keywords


EID: 0040747855     PISSN: 00261335     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02614069     Document Type: Article
Times cited : (4)

References (21)
  • 1
    • 5844297152 scopus 로고
    • Theory of reproducing kernels
    • Aronszajin N (1950) Theory of reproducing kernels. Trans Amer Math Soc 68:337-404
    • (1950) Trans Amer Math Soc , vol.68 , pp. 337-404
    • Aronszajin, N.1
  • 3
    • 38249002021 scopus 로고
    • Sampling designs for estimation of a random process
    • Cambanis S, Su Y (1993) Sampling designs for estimation of a random process. Stoch Process Appl 46:47-89
    • (1993) Stoch Process Appl , vol.46 , pp. 47-89
    • Cambanis, S.1    Su, Y.2
  • 6
    • 3342903870 scopus 로고
    • Optimal designs for approximating the path of a stochastic process
    • Müller-Gronbach T (1995a) Optimal designs for approximating the path of a stochastic process. J Statist Plann Inference
    • (1995) J Statist Plann Inference
    • Müller-Gronbach, T.1
  • 7
    • 4244175611 scopus 로고
    • Optimal designs for approximating a stochastic process with respect to a minimax criterion
    • Müller-Gronbach T (1995b) Optimal designs for approximating a stochastic process with respect to a minimax criterion. Statistics
    • (1995) Statistics
    • Müller-Gronbach, T.1
  • 9
    • 0001922448 scopus 로고
    • On the average complexity of multivariate problems
    • Papageorgiou A, Wasilkowski GW (1990) On the average complexity of multivariate problems. J Complexity 6:1-23
    • (1990) J Complexity , vol.6 , pp. 1-23
    • Papageorgiou, A.1    Wasilkowski, G.W.2
  • 10
    • 33744507616 scopus 로고
    • Statistical inference on time series by Hilbert space methods, I
    • Dep of Statistics, Stanford University, Stanford
    • Parzen E (1959) Statistical inference on time series by Hilbert space methods, I. Technical report No 23, Dep of Statistics, Stanford University, Stanford
    • (1959) Technical Report No 23 , vol.23
    • Parzen, E.1
  • 11
    • 0001242202 scopus 로고
    • Approximation and optimization on the Wiener space
    • Ritter K (1990) Approximation and optimization on the Wiener space. J Complexity 6:337-364
    • (1990) J Complexity , vol.6 , pp. 337-364
    • Ritter, K.1
  • 12
    • 33748834899 scopus 로고
    • 2-approximation: Average case setting with isotropic Wiener measure for smooth functions
    • 2-approximation: Average case setting with isotropic Wiener measure for smooth functions. Rocky Mountain J. Math
    • (1994) Rocky Mountain J. Math
    • Ritter, K.1    Wasilkowski, G.W.2
  • 13
    • 0001231555 scopus 로고
    • Multivariate integration and approximation for random fields satisfying Sacks-Ylvisaker conditions
    • Ritter K, Wasilkowski GW, 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
  • 15
    • 0002932504 scopus 로고
    • Designs for regression problems with correlated errors
    • Sacks J, 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
  • 16
    • 0001880413 scopus 로고
    • Designs for regression problems with correlated errors; many parameters
    • Sacks J, Ylvisaker D (1986) Designs for regression problems with correlated errors; many parameters. Ann Math Statist 39:46-69
    • (1986) Ann Math Statist , vol.39 , pp. 46-69
    • Sacks, J.1    Ylvisaker, D.2
  • 17
    • 0000006130 scopus 로고
    • Design for regression problems with correlated errors III
    • Sacks J, Ylvisaker D (1970a) Design 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
  • 19
    • 0003689455 scopus 로고
    • p approximation of autoregressive Gaussian processes
    • University of Oregon, Department of Statistics, Eugene
    • p approximation of autoregressive Gaussian processes. Technical Report. University of Oregon, Department of Statistics, Eugene
    • (1979) Technical Report
    • Speckman, P.1
  • 21
    • 44049110205 scopus 로고
    • Average case complexity of linear multivariate problems, Part 1: Theory. Part 2: Applications
    • Woźniakowski H (1992) Average case complexity of linear multivariate problems, Part 1: Theory. Part 2: Applications. J Complexity 8:337-372, 373-392
    • (1992) J Complexity , vol.8 , pp. 337-372
    • Woźniakowski, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.