DEVELOPMENT AND VALIDATION OF A NEW MAXIMUM LIKELIHOOD CRITERION SUITABLE FOR DATA COLLECTED AT UNEQUAL TIME INTERVALS

Persistent Link:
http://hdl.handle.net/10150/617640
Title:
DEVELOPMENT AND VALIDATION OF A NEW MAXIMUM LIKELIHOOD CRITERION SUITABLE FOR DATA COLLECTED AT UNEQUAL TIME INTERVALS
Author:
Duan, Qingyun; Sorooshian, Soroosh; Ibbitt, Richard P.
Affiliation:
Department of Hydrology & Water Resources, The University of Arizona
Publisher:
Department of Hydrology and Water Resources, University of Arizona (Tucson, AZ)
Issue Date:
1987-08
Rights:
Copyright © Arizona Board of Regents
Collection Information:
This title from the Hydrology & Water Resources Technical Reports collection is made available by the Department of Hydrology & Atmospheric Sciences and the University Libraries, University of Arizona. If you have questions about titles in this collection, please contact repository@u.library.arizona.edu.
Abstract:
A new Maximum Likelihood Criterion (MLE) suitable for data which are recorded at unequal time intervals and contain auto-correlated errors is developed. Validation of the new MLE criterion has been carried out both on a simple two - parameter reservoir model using synthetical data and on a more complicated hillslope model using real data from the Pukeiti Catchment in New Zealand. Comparison between the new MLE criterion and the Simple Least Squares (SLS) criterion reveals the superiority of the former over the latter. Comparison made between the new MLE and the MLE for auto-correlated case proposed by Sorooshian in 1978 has shown that both criteria would yield results with no practical difference if equal time interval data were used. However, the new MLE can work on variable time interval data which provide more information than equal time interval data, and therefore produces better visual results in hydrologic simulations.
Keywords:
Floods -- Mathematical models.; Rivers -- Mathematical models.
Series/Report no.:
Technical Reports on Hydrology and Water Resources, No. 87-012
Sponsors:
The authors wish to extend their gratitude to the University of Arizona for providing computer facilities which were necessary for the research. Financial support for this research was provided by the National Science Foundation (Grants INT- 8413539 and ECE- 8610584). Cooperation from the Hydrology Center of the Ministry of Works and Development. New Zealand, was essential to the completion of this research, and therefore their assistance is greatly appreciated.

Full metadata record

DC FieldValue Language
dc.contributor.authorDuan, Qingyunen
dc.contributor.authorSorooshian, Sorooshen
dc.contributor.authorIbbitt, Richard P.en
dc.date.accessioned2016-07-27T23:05:32Z-
dc.date.available2016-07-27T23:05:32Z-
dc.date.issued1987-08-
dc.identifier.urihttp://hdl.handle.net/10150/617640-
dc.description.abstractA new Maximum Likelihood Criterion (MLE) suitable for data which are recorded at unequal time intervals and contain auto-correlated errors is developed. Validation of the new MLE criterion has been carried out both on a simple two - parameter reservoir model using synthetical data and on a more complicated hillslope model using real data from the Pukeiti Catchment in New Zealand. Comparison between the new MLE criterion and the Simple Least Squares (SLS) criterion reveals the superiority of the former over the latter. Comparison made between the new MLE and the MLE for auto-correlated case proposed by Sorooshian in 1978 has shown that both criteria would yield results with no practical difference if equal time interval data were used. However, the new MLE can work on variable time interval data which provide more information than equal time interval data, and therefore produces better visual results in hydrologic simulations.en
dc.description.sponsorshipThe authors wish to extend their gratitude to the University of Arizona for providing computer facilities which were necessary for the research. Financial support for this research was provided by the National Science Foundation (Grants INT- 8413539 and ECE- 8610584). Cooperation from the Hydrology Center of the Ministry of Works and Development. New Zealand, was essential to the completion of this research, and therefore their assistance is greatly appreciated.en
dc.language.isoen_USen
dc.publisherDepartment of Hydrology and Water Resources, University of Arizona (Tucson, AZ)en
dc.relation.ispartofseriesTechnical Reports on Hydrology and Water Resources, No. 87-012en
dc.rightsCopyright © Arizona Board of Regentsen
dc.sourceProvided by the Department of Hydrology and Water Resources.en
dc.subjectFloods -- Mathematical models.en
dc.subjectRivers -- Mathematical models.en
dc.titleDEVELOPMENT AND VALIDATION OF A NEW MAXIMUM LIKELIHOOD CRITERION SUITABLE FOR DATA COLLECTED AT UNEQUAL TIME INTERVALSen_US
dc.typetexten
dc.typeTechnical Reporten
dc.contributor.departmentDepartment of Hydrology & Water Resources, The University of Arizonaen
dc.description.collectioninformationThis title from the Hydrology & Water Resources Technical Reports collection is made available by the Department of Hydrology & Atmospheric Sciences and the University Libraries, University of Arizona. If you have questions about titles in this collection, please contact repository@u.library.arizona.edu.en
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