A case study of model selection and parameter inference by maximum likelihood with application to uncertainty analysis

Natural Resources Research

Volumn 7, Issue 1, 1998, Pages 63-73

  Pardo Igúdzquiza, Eulogio ^a   Dowd, Peter A ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Akaike information criterion; Geostatistics; Maximum likelihood; Transmissivity data; Uncertainty analysis

Indexed keywords

EID: 0012065921     PISSN: 15207439     EISSN: 15738981     Source Type: Journal    
DOI: 10.1007/bf02782510     Document Type: Article

References (9)

1. Akaike, H., 1974, A new look at the statistical model identification. IEEE Transactions on Automatic Control, v. AC-19, no. 6, p. 716-723.
2. Draper, N. R. and Smith, H., 1981, Applied regression analysis. Second Ed.: John Wiley and Sons, New York, 709 p.
3. Gotway, C. A., 1994, The use of conditional simulation in nuclear waste-site performance assessment. Technometrics, v. 36, no. 2, p. 129-141.
4. Hoeksema, R. J. and Kitanidis, P. K., 1985, Analysis of the spatial structure of properties of selected aquifers. Water Resources Research, v. 21, no. 4, p. 563-572.
5. Kitanidis, P. K., 1983, Statistical estimation of polynomial covariance functions and hydrologic applications. Water Resources Research, v. 19, no. 2, p. 909-921.
6. Kitanidis, P. K., 1987, Parametric estimation of regionalised variables. Water Resources Bulletin, v. 24, no. 4, p. 671-680.
7. Pardo-Iguzquiza, E., 1996a. MLREML: a computer program for the inference of covariance parameters by maximum likelihood and restricted maximum likelihood. Computers and Geosciences, v. 23, no. 2, p. 153-162.
8. Pardo-Igtizquiza, E., 1996b. The maximum likelihood method in the statistical inference of parameters of geostatistical models. Submitted for publication in Mathematical Geology.
9. Zimmerman, D. L., 1993, Another look at anisotropy in Geostatistics. Mathematical Geology, vol. 25, no. 4, p. 453-470.