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Investigation of wet and dry years by runs

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dc.contributor.authorSaldarriaga, Jaime, author
dc.contributor.authorYevjevich, Vujica M., 1913-2006, advisor
dc.contributor.authorTodorovic, P. (Petar), committee member
dc.contributor.authorHolland, Mel, committee member
dc.contributor.authorSchumm, Stanley Alfred, 1927-, committee member
dc.date.accessioned2017-09-11T21:33:57Z
dc.date.available2017-09-11T21:33:57Z
dc.date.issued1969
dc.description.abstractA technique is advanced for testing the structure of time series, with the basic statistical parameter being the mean run-length. This technique is shown to be distribution-free, as opposed to other techniques of investigation of time series like autocorrelation and variance spectrum analyses which are based on the assumption that the underlying variable is normally distributed. Application of technique to selected precipitation and river gaging stations is presented. Analytical expressions are developed by which the probabilities of sequences of wet and dry years of specified lengths can be calculated when the basic hydrologic time series are either independent or stationary dependent Gaussian processes, and the truncation level specified. Numerical values of these probabilities are obtained by means of digital computer for a first order autoregressive process. A set of tables and a set of graphs are presented in order to make the numerical values useable. The probabilities of runs of dependent variables with a common distribution do not depend on the underlying univariate distribution of the variable for a given specified truncation level. The significance of the investigation is based on the need of accurate stochastic models of hydrologic time series for the generation of samples of annual precipitation and annual river flow, for the planning design and operation of water resource systems. It is also based on the concept that runs, as statistical properties of runs, represent the best basic concept for an objective definition of drought.
dc.format.mediumdoctoral dissertations
dc.identifier.urihttps://hdl.handle.net/10217/183822
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado State University. Libraries
dc.relationCatalog record number (MMS ID): 991004435539703361
dc.relationQA273.S24
dc.relation.ispartof1950-1979
dc.rightsCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.
dc.subject.lcshTime-series analysis
dc.subject.lcshHydrology
dc.subject.lcshRunoff
dc.titleInvestigation of wet and dry years by runs
dc.typeText
dcterms.rights.dplaThis Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
thesis.degree.disciplineCivil Engineering
thesis.degree.grantorColorado State University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy (Ph.D.)

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