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Original Articles

The Incorporation of Model Uncertainty in Geostatistical Simulation

Pages 147-169 | Published online: 14 Jul 2010

  • Akaike , H. 1974 . A new look at the statistical model identification . IEEE Transactions on Automatic Control , AC-19 (6) : 716 – 723 .
  • David , M. , Dowd , P.A. and Korohov , S. Forecasting departure from planning in open pit design and grade control . 12th Symposium on the Application of Computers and Operations Research in the Mineral Industries (APCOM) . Vol. 2 , pp. F131 – F142 . Golden, CO : Colorado School of Mines .
  • Dietrich , C.R. and Osborne , M.R. 1991 . Estimation of covariance parameters in Kriging via restricted maximum likelihood . Mathematical Geology; , 23 (7) : 655 – 672 .
  • Dowd , P.A. 1992 . A review of recent developments in geostatistics . Computers and Geosciences , 17 (10) : 1481 – 1500 .
  • Dowd , P.A. 1994a . Risk assessment in reserve estimation and open-pit planning . Transactions of the Institution of Mining and Metallurgy (Section A: Mining Industry) , 103 : A148 – A154 .
  • Dowd , P.A. 1994b . Geological controls in the geostatistical simulation of hydrocarbon reservoirs . The Arabian Journal for Science and Engineering , 19 (2B) : 237 – 247 .
  • Dowd , P.A. 1997 . Risk in minerals projects: analysis, perception and management . Transactions of the Institution of Mining and Metallurgy (Section A: Mining Industry) , 106 : A9 – A18 .
  • Dowd , P.A. and David , M. 1976 . “ Planning from estimates: sensitivity of mine production schedules to estimation methods ” . In Advanced Geostatistics in the Mining Industry , NATO ASl Series C: Mathematical and Physical Sciences Edited by: Guarascio , M. , David , M. and Huijhregts , C. Vol. 24 , 163 – 183 . Dordrecht : Reidel .
  • Draper , N.R. and Smith , H. 1981 . Applied Regression Analysis. , 2nd edn , New York : John Wiley .
  • Gotway , C.A. 1994 . The use of conditional simulation in nuclear waste-site performance assessment . Technometrics , 36 (2) : 129 – 141 .
  • Grayhill , F.A. 1976 . Theory and Application of the Linear Model , 704 North Sutuate, MA : Duxbury Press .
  • Harville , H. 1977 . Maximum likelihood approaches to variance component estimation and to related problems . Journal of the American Statistical Association , 72 (358) : 320 – 388 .
  • Hoeksema , R.J. and Kitanidis , P.K. 1985 . Analysis of the spatial structure of properties of selected aquifers . Water Resources Research , 21 (4) : 563 – 572 .
  • Journel , A.G. and Alabert , F. 1989 . Non-gaussian data expansion in the earth sciences . Terra Nova , 1 : 123 – 134 .
  • Journel , A.G. and Alabert , F. 1990 . New method for reservoir mapping . Journal of Petroleum Technology , February : 212 – 218 .
  • Journel , A.G. and Huijhregts , C. 1978 . Mining Geostatistics , New York : Academic Press .
  • Journel , A.G. and Lsaaks , E.H. 1984 . Conditional indicator simulation: application to a Saskatchewan uranium deposit . Mathematical Geology , 16 (7) : 685 – 718 .
  • Kendall , M. and Stuart , A. 1979 . The Advanced Theory of' Statistics. Vol. 2: inference and Relationship, , 4th edn , Vol. 2 , London : Charles Grillin .
  • Kitanidis , P.K. 1983 . Statistical estimation of polynomial covariance functions and hydrologie applications . Water Resources Research , 19 (2) : 909 – 921 .
  • Kitanidis , P.K. 1987 . Parametric estimation of regionalised variables . Water Resources Bulletin , 24 (4) : 671 – 680 .
  • Kitanidis , P.K. and Lane , R.W. 1985 . Maximum likelihood parameter estimation of hydrologie spatial processes by the Gauss-Newton method . Journal of Hydrology , 79 (1-2) : 53 – 71 .
  • Mardia , K.V. and Marshall , R.J. 1984 . Maximum likelihood estimation of models for residual covariance in spatial regression . Biometrika , 71 (1) : 135 – 146 .
  • Mardia , K. V. and Watkins . 1989 . On multimodality of the likelihood in the spatial linear model . Biometrika , 76 (2) : 289 – 295 .
  • Matheron , G. 1971 . The theory of regionalized variables and its applications , Fontainebleau, , France : Ecole Supérieure des Mines de Paris .
  • Matheron , G. 1973 . The intrinsic random functions and their applications . Advanced in Applied Probability , 5 : 439 – 468 .
  • Norden , R.H. 1972 . A survey of maximum likelihood estimation . International Statistical Review , 40 (3) : 329 – 354 .
  • Pardo-lgúzquiza , E. 1996 . MLREML: a computer program for the inference of covariance parameters by maximum likelihood and restricted maximum likelihood . Computers and geosciences , 23 (2) : 153 – 162 .
  • Pardo-lgúzquiza , E. 1998 . Maximum likelihood estimation of spatial covariance parameters . Mathmatical Geology , 30 (1) : 95 – 108 .
  • Pardo-lgúzquiza , E. and Dowd , P.A. 1997 . AMLE3D: a computer program for the statistical inference of covariance parameters by approximate maximum likelihood estimation . Computers and Geosciences , 23 (7) : 793 – 805 .
  • Pardo-lgúzquiza , E. and Dowd , P.A. 1998a . Maximum likelihood inference of spatial covariance parameters of soil properties . Soil Science , 163 (3) : 212 – 219 .
  • Pardo-lgúzquiza , E. and Dowd , P.A. 1998b . A case study of model selection and parameter inference by maximum likelihood with application to uncertainty analysis . Nonrenewable Resources , 7 (1) : 63 – 73 .
  • Pardo-lgúzquiza , E. and Dowd , P.A. 1998c . The second order stationary Universal Kriging model revisited . Mathematical Geology , 30 (4) : 347 – 348 .
  • Patterson , H.D. and Thompson , R. 1971 . Recovery of interblock information when the block sizes are unequal . Biometrika , 58 : 545 – 554 .
  • Rao , J.N.K. 1977 . Maximum likelihood approaches to variance component estimation and related problems . Journal of the American Statistical Association , 72 (358) : 338 – 339 . Comment to D.A. Harville (1977)
  • Ripley , B.D. 1988 . Statistical Inference for Spatial Processes , Cambridge : Cambridge University Press .
  • Ripley , B.D. 1992 . “ Stochastic models of the distribution of rock types in petroleum reservoirs ” . In Statistics in the Environmental and Earth Sciences , Edited by: Waiden , A.T. and Guttorp , P . 247 – 282 . New York : John Wiley . Ch. 12
  • Searle , S.R. 1971 . Linear Models John Wiley, , New York
  • Vecchia , A.V. 1988 . Estimation and model identification for continuous spatial processes . Journal of the American Statistical Association , 72 (358)
  • Royal Statistical Society (B) , 50 297 – 312 .
  • Warnes , J.J. and Ripley , B.D. 1987 . Problems with the likelihood estimation of covariance functions of spatial Gaussian processes . Biometrika , 74 (3) : 640 – 642 .
  • Zimmerman , D.L. 1989 . Computationally efficient restricted maximum likelihood estimation of generalised covariance functions . Mathematical Geology: , 21 (7) : 655 – 672 .

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