{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/19620"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/19620","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A theoretical framework for multivariate quality control","abstract":"Restriction data tranferred 2014-07-01T11:15:55-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","abstract_html":"Restriction data tranferred 2014-07-01T11:15:55-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","abstract_has_math":false,"creators":["Guerrero, Jose Luis"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mechanical Engineering","degree_department":null,"school":null,"contributors":["Dessouky, Mohamed I."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T12:13:17Z","date_published":"2011-05-07T12:13:17Z","updated_at":"2026-07-22T22:25:14Z","subjects":["Mathematics","Statistics","Engineering, Industrial"],"languages":["eng"],"rights":["Copyright 1991 Guerrero, Jose Luis"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9210820","(UMI)AAI9210820"],"render_values":[{"text":"AAI9210820","href":null,"code":true},{"text":"(UMI)AAI9210820","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/19620","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Dessouky, Mohamed I."]},{"key":"dc:creator","label":"Author","values":["Guerrero, Jose Luis"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T12:13:17Z","10000-01-01","1991"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics","Statistics","Engineering, Industrial"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1991 Guerrero, Jose Luis"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9210820","(UMI)AAI9210820","http://hdl.handle.net/2142/19620"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Restriction data tranferred 2014-07-01T11:15:55-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","A theoretical framework is proposed for multivariate quality control based on multivariate statistical analysis and information-theoretical measures. A flow chart is proposed to determine whether the process is in control taking into account the distribution of the vector of random variables X, and its correlation and variability structures.","Two system characteristics are used, namely the transinformation T(X) and the entropy H(X) of a system. These measures are used to determine changes in the correlation and variability structure of our process, respectively. Two multivariate distributions are investigated, namely the multivariate normal and the multivariate Poisson. The bivariate Poisson is analyzed in detail and the asymptotic properties for the bivariate binomial are examined.","Distributional studies for sample values of T(X) and H(X) are carried out under the assumptions of multivariate normality and bivariate Poisson. For the multivariate normal distribution we analyze the case of independent and dependent random variables. For the former case we obtain the moment generating function, cumulant function, mean and variance. For the dependent case we obtain asymptotic results for its moments and proposed dependence tests. The bivariate Poisson analysis is based on its expansion by Gram-Charlier polynomials. Diagnostic tests are outlined to determine which variables brought about the out-of-control state, when such a state has been indicated by the tests proposed above.","Made available in DSpace on 2011-05-07T12:13:17Z (GMT). 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A flow chart is proposed to determine whether the process is in control taking into account the distribution of the vector of random variables X, and its correlation and variability structures.","Two system characteristics are used, namely the transinformation T(X) and the entropy H(X) of a system. These measures are used to determine changes in the correlation and variability structure of our process, respectively. Two multivariate distributions are investigated, namely the multivariate normal and the multivariate Poisson. The bivariate Poisson is analyzed in detail and the asymptotic properties for the bivariate binomial are examined.","Distributional studies for sample values of T(X) and H(X) are carried out under the assumptions of multivariate normality and bivariate Poisson. For the multivariate normal distribution we analyze the case of independent and dependent random variables. For the former case we obtain the moment generating function, cumulant function, mean and variance. For the dependent case we obtain asymptotic results for its moments and proposed dependence tests. The bivariate Poisson analysis is based on its expansion by Gram-Charlier polynomials. Diagnostic tests are outlined to determine which variables brought about the out-of-control state, when such a state has been indicated by the tests proposed above.","Made available in DSpace on 2011-05-07T12:13:17Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9210820.pdf: 5804043 bytes, checksum: a50acf47d7dc6c3f330a0d6262c9f7a7 (MD5) Previous issue date: 1991","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:38:17Z Item is restricted indefinitely.","U of I Only"],"dc:identifier":["AAI9210820","(UMI)AAI9210820","http://hdl.handle.net/2142/19620"],"dc:language":["eng"],"dc:rights":["Copyright 1991 Guerrero, Jose Luis"],"dc:subject":["Mathematics","Statistics","Engineering, Industrial"],"dc:title":["A theoretical framework for multivariate quality control"],"dc:type":["text"],"thesis:degree_discipline":["Mechanical Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:14Z"}