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dc.contributor.authorHaley, Charlotteen
dc.date2014-09-25 19:20:15.225
dc.date.accessioned2014-09-27T17:02:06Z
dc.date.available2014-09-27T17:02:06Z
dc.date.issued2014-09-27
dc.identifier.urihttp://hdl.handle.net/1974/12502
dc.descriptionThesis (Ph.D, Mathematics & Statistics) -- Queen's University, 2014-09-25 19:20:15.225en
dc.description.abstractThe study of the systematic oscillations of the Sun has led to better understanding of the Sun’s inner structure and dynamics, and may help to resolve inconsistencies between observations and the standard solar model. Recent studies have concluded that solar modal structure remains coherent past turbulence in the convection zone and imprints its signatures on the solar wind and the interplanetary magnetic field fluctuations, and these structures are coherent with atmospheric pressure variations, terrestrial seismic oscillations, and data from communications systems. Time series containing modal structure can be expected to contain several thousands of resolved and unresolved line components in very short bands in frequency, and the measure- ment of these modes pushes spectrum estimation methods for time series to its limit. This thesis presents two theoretical contributions for modeling solar oscillations in power spectra (i) expressions for the expected number and shape of significant spuri- ous peaks in spectrum estimates are given, in the absence of modal structure, and a permutation test for the identification of spectra containing pathological numbers of modal components. (ii) A model for maximum likelihood estimation of the solar os- cillation parameters in composite spectra is given. The scientific contributions of this thesis are (a) identification of highly significant modal artifacts in solar wind mea- surements as seen by the Advanced Composition Explorer (ACE) on the 2 − 3mHz band and (b) quantification of the presence of modal structure in secondary cosmic rays (specifically neutrons) on Earth.en
dc.language.isoengen
dc.relation.ispartofseriesCanadian thesesen
dc.rightsThis publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.en
dc.subjectCosmic Raysen
dc.subjectLevel Crossingsen
dc.subjectSignal Detection and Estimationen
dc.subjectPower Spectrumen
dc.subjectNeutron Monitoren
dc.subjectSolar Modes of Oscillationen
dc.titleNonparametric and Parametric Methods for Solar Oscillation Spectraen
dc.typethesisen
dc.description.degreePhDen
dc.contributor.supervisorThomson, David J.en
dc.contributor.departmentMathematics and Statisticsen
dc.degree.grantorQueen's University at Kingstonen


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