A Comparison of Linear and Nonlinear Random Field Estimators

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Bibliographic Details
Main Authors: Angulo, Carlos Enrique Puente, Bras, Rafael L.
Published: Cambridge, Mass. : Ralph M. Parsons Laboratory, Hydrology and Water Resource Systems, Massachusetts Institute of Technology, Dept. of Civil Engineering 2022
Online Access:https://hdl.handle.net/1721.1/143020
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author Angulo, Carlos Enrique Puente
Bras, Rafael L.
author_facet Angulo, Carlos Enrique Puente
Bras, Rafael L.
author_sort Angulo, Carlos Enrique Puente
collection MIT
description Scanning notes: Disclaimer inserted for illegible graphs and text.
first_indexed 2024-09-23T13:34:40Z
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institution Massachusetts Institute of Technology
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publisher Cambridge, Mass. : Ralph M. Parsons Laboratory, Hydrology and Water Resource Systems, Massachusetts Institute of Technology, Dept. of Civil Engineering
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spelling mit-1721.1/1430202022-06-14T03:20:35Z A Comparison of Linear and Nonlinear Random Field Estimators Angulo, Carlos Enrique Puente Bras, Rafael L. Scanning notes: Disclaimer inserted for illegible graphs and text. Prepared with support of National Science Foundation and Office of Surface Mining through Grants CME-7919836 G5105071 The estimation of random fields from limited samples is an important issue in most fields of geophysics, such as Hydrology and Meteorology. Work by Matheron and others at the Paris School of Mines has popularized Kriging techniques to estimate random fields at specified locations or to get areal averages. This work presents the theoretical and practical aspects of both Linear and Nonlinear (Disjunctive) Kriging estimators, and provides a comparison of their performance in estimating point and areal values of generated fields. The experiments performed were designed to closely resemble actual and practical situations. The results show that small sample based inconsistencies lead to a Disjunctive Kriging solution which does not give more accurate estimates than the theoretically less precise Linear Kriging estimator. The results also suggest the use of a multi-realization approach when using these techniques in network design problems. 2022-06-13T13:10:12Z 2022-06-13T13:10:12Z 1982-11 287 https://hdl.handle.net/1721.1/143020 10422941 241273 R (Massachusetts Institute of Technology. Department of Civil Engineering) ; 82-51. Report (Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics) ; 287. application/pdf Cambridge, Mass. : Ralph M. Parsons Laboratory, Hydrology and Water Resource Systems, Massachusetts Institute of Technology, Dept. of Civil Engineering
spellingShingle Angulo, Carlos Enrique Puente
Bras, Rafael L.
A Comparison of Linear and Nonlinear Random Field Estimators
title A Comparison of Linear and Nonlinear Random Field Estimators
title_full A Comparison of Linear and Nonlinear Random Field Estimators
title_fullStr A Comparison of Linear and Nonlinear Random Field Estimators
title_full_unstemmed A Comparison of Linear and Nonlinear Random Field Estimators
title_short A Comparison of Linear and Nonlinear Random Field Estimators
title_sort comparison of linear and nonlinear random field estimators
url https://hdl.handle.net/1721.1/143020
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