{"id":{"repo_id":"unt","oai_identifier":"info:ark/67531/metadc3045"},"canonical_url":"https://search.dev.ndltd.org/etd/unt/info:ark/67531/metadc3045","repository":{"repo_id":"unt","name":"University of North Texas","base_url":"https://digital.library.unt.edu/oai/"},"display":{"title":"A Statistical Study of Hard X-Ray Solar Flares","abstract":"The results of a statistical study of hard x-ray solar flares are presented in this dissertation. Two methods of analysis were used, the Diffusion Entropy (DE) method coupled with an analysis of the data distributions and the Rescaled Range (R/S) Method, sometimes referred to as \"Hurst's method\". Chapter one provides an introduction to hard x-ray flares within the context of the solar environment and a summary of the statistical paradigms solar astronomers currently work under. Chapter two presents the theory behind the DE and R/S methods. Chapter three presents the results of the two analysis methodologies: most notably important evidence of the conflicting results of the R/S and DE methods, evidence of a Levy statistical signature for the underlying dynamics of the hard x-ray flaring process and a possible separate memory signature for the waiting times. In addition, the stationary and nonstationary characteristics of the waiting times and peak intensities, are revealed. Chapter four provides a concise summary and discussion of the results.","abstract_html":"The results of a statistical study of hard x-ray solar flares are presented in this dissertation. Two methods of analysis were used, the Diffusion Entropy (DE) method coupled with an analysis of the data distributions and the Rescaled Range (R/S) Method, sometimes referred to as "Hurst's method". Chapter one provides an introduction to hard x-ray flares within the context of the solar environment and a summary of the statistical paradigms solar astronomers currently work under. Chapter two presents the theory behind the DE and R/S methods. Chapter three presents the results of the two analysis methodologies: most notably important evidence of the conflicting results of the R/S and DE methods, evidence of a Levy statistical signature for the underlying dynamics of the hard x-ray flaring process and a possible separate memory signature for the waiting times. In addition, the stationary and nonstationary characteristics of the waiting times and peak intensities, are revealed. Chapter four provides a concise summary and discussion of the results.","abstract_has_math":false,"creators":["Leddon, Deborah L."],"institution":"University of North Texas","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Grigolini, Paolo","West, Bruce J.","Deering, William D.","Fanelli, Michael","Roberts, James A.","Matteson, Samuel E."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2001,"date_issued":"2001-12","date_published":"2001-12","updated_at":"2026-07-24T05:34:52Z","subjects":["X-ray astronomy.","Solar flares.","complexity","waiting times","hard x-ray solar flares","solar environment","nonlinear time series analysis"],"languages":["English"],"rights":["Public","Copyright","Leddon, Deborah L.","Copyright is held by the author, unless otherwise noted. All rights reserved."],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["oclc: 51931648","https://digital.library.unt.edu/ark:/67531/metadc3045/","ark: ark:/67531/metadc3045"],"render_values":[{"text":"oclc: 51931648","href":null,"code":true},{"text":"https://digital.library.unt.edu/ark:/67531/metadc3045/","href":"https://digital.library.unt.edu/ark:/67531/metadc3045/","code":true},{"text":"ark: ark:/67531/metadc3045","href":null,"code":true}]}]},"links":{"outbound_url":"https://doi.org/10.12794/metadc3045","outbound_label":"DOI","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Grigolini, Paolo","West, Bruce J.","Deering, William D.","Fanelli, Michael","Roberts, James A.","Matteson, Samuel E."]},{"key":"dc:creator","label":"Author","values":["Leddon, Deborah L."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2001-12"]},{"key":"dc:publisher","label":"Institution","values":["University of North Texas"]},{"key":"dc:type","label":"Dc Type","values":["Thesis or Dissertation"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["X-ray astronomy.","Solar flares.","complexity","waiting times","hard x-ray solar flares","solar environment","nonlinear time series analysis"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]},{"key":"dc:rights","label":"Dc Rights","values":["Public","Copyright","Leddon, Deborah L.","Copyright is held by the author, unless otherwise noted. 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Chapter three presents the results of the two analysis methodologies: most notably important evidence of the conflicting results of the R/S and DE methods, evidence of a Levy statistical signature for the underlying dynamics of the hard x-ray flaring process and a possible separate memory signature for the waiting times. In addition, the stationary and nonstationary characteristics of the waiting times and peak intensities, are revealed. Chapter four provides a concise summary and discussion of the results."]},{"key":"dc:format","label":"Dc Format","values":["Text"]},{"key":"dc:title","label":"Title","values":["A Statistical Study of Hard X-Ray Solar Flares"]}]}],"canonical_facts":{"dc:contributor":["Grigolini, Paolo","West, Bruce J.","Deering, William D.","Fanelli, Michael","Roberts, James A.","Matteson, Samuel E."],"dc:creator":["Leddon, Deborah L."],"dc:date":["2001-12"],"dc:description":["The results of a statistical study of hard x-ray solar flares are presented in this dissertation. Two methods of analysis were used, the Diffusion Entropy (DE) method coupled with an analysis of the data distributions and the Rescaled Range (R/S) Method, sometimes referred to as \"Hurst's method\". Chapter one provides an introduction to hard x-ray flares within the context of the solar environment and a summary of the statistical paradigms solar astronomers currently work under. Chapter two presents the theory behind the DE and R/S methods. Chapter three presents the results of the two analysis methodologies: most notably important evidence of the conflicting results of the R/S and DE methods, evidence of a Levy statistical signature for the underlying dynamics of the hard x-ray flaring process and a possible separate memory signature for the waiting times. In addition, the stationary and nonstationary characteristics of the waiting times and peak intensities, are revealed. Chapter four provides a concise summary and discussion of the results."],"dc:format":["Text"],"dc:identifier":["oclc: 51931648","doi: 10.12794/metadc3045","https://digital.library.unt.edu/ark:/67531/metadc3045/","ark: ark:/67531/metadc3045"],"dc:language":["English"],"dc:publisher":["University of North Texas"],"dc:rights":["Public","Copyright","Leddon, Deborah L.","Copyright is held by the author, unless otherwise noted. All rights reserved."],"dc:subject":["X-ray astronomy.","Solar flares.","complexity","waiting times","hard x-ray solar flares","solar environment","nonlinear time series analysis"],"dc:title":["A Statistical Study of Hard X-Ray Solar Flares"],"dc:type":["Thesis or Dissertation"]},"updated_at":"2026-07-24T05:34:52Z"}