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[{"key": "dc.contributor.author", "value": "Leskinen, Esko", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2025-06-23T06:52:41Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2025-06-23T06:52:41Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "1980", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.isbn", "value": "978-952-86-0841-7", "language": null, "element": "identifier", "qualifier": "isbn", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/103838", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "In this work we have developed and studied a new ridge-type estimation method which we call the orthogonalizing ridge estimation. We have attempted to improve regression estimation with respect to the LS-estimation only in multicollinear cases. When we have the orthogonal case the orthogonalizing ridge estimation is equivalent to the LS-estimation. Further, in the orthogonalizing ridge estimation we only modify those components of the orthogonalizing ridge estimators in which the corresponding components of the LS-estimator (in the canonical form) often produce the most inaccurate estimates. When we add the orthogonalizing constant k to these components of estimators, we do not damp coefficients of estimators to zero when k increases. We have studied the MSE-properties of the orthogonalizing ridge estimators and shown that there always exists a fixed k > 0 such that their MSE's are smaller than the MSE of the LS-estimator. We have constructed a simulation study of orthogonalizing ridge estimators and ridge estimators and compared their properties with the LS-estimator and with each other. We have also applied these estimation methods to two empirical data in which the presence of multicollinearity causes serious problems in the LS-estimation.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Harri Hirvi (hirvi@jyu.fi) on 2025-06-23T06:52:41Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2025-06-23T06:52:41Z (GMT). No. of bitstreams: 0\n Previous issue date: 1980", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.mimetype", "value": "application/pdf", "language": null, "element": "format", "qualifier": "mimetype", "schema": "dc"}, {"key": "dc.language.iso", "value": "eng", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.relation.ispartofseries", "value": "Jyv\u00e4skyl\u00e4 studies in computer science, economics and statistics", "language": null, "element": "relation", "qualifier": "ispartofseries", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": null, "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "tilastotiede", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "regressioanalyysi", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "On the biased estimation in regression : studies on ridge-type estimation", "language": null, "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "doctoral thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:ISBN:978-952-86-0841-7", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_db06", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.relation.numberinseries", "value": "3", "language": null, "element": "relation", "qualifier": "numberinseries", "schema": "dc"}, {"key": "dc.rights.copyright", "value": "\u00a9 The Author & University of Jyv\u00e4skyl\u00e4", "language": null, "element": "rights", "qualifier": "copyright", "schema": "dc"}, {"key": "dc.rights.accesslevel", "value": "restrictedAccess", "language": null, "element": "rights", "qualifier": "accesslevel", "schema": "dc"}, {"key": "dc.type.publication", "value": "doctoralThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.format.content", "value": "fulltext", "language": null, "element": "format", "qualifier": "content", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}, {"key": "dc.rights.accessrights", "value": "Aineistoon p\u00e4\u00e4sy\u00e4 on rajoitettu tekij\u00e4noikeussyist\u00e4. Aineisto on luettavissa Jyv\u00e4skyl\u00e4n yliopiston kirjaston <a href=\"https://www.jyu.fi/fi/osc/kirjasto/tyoskentelytilat/laitteet-ja-tilat#toc-jyx-ty-asema\">arkistoty\u00f6asemalta</a>.", "language": "fi", "element": "rights", "qualifier": "accessrights", "schema": "dc"}, {"key": "dc.rights.accessrights", "value": "<br><br>This material has a restricted access due to copyright reasons. It can be read at the <a href=\"https://www.jyu.fi/fi/osc/kirjasto/tyoskentelytilat/laitteet-ja-tilat#toc-jyx-ty-asema\">workstation</a> at Jyv\u00e4skyl\u00e4 University Library reserved for the use of archival materials.", "language": "en", "element": "rights", "qualifier": "accessrights", "schema": "dc"}, {"key": "dc.date.digitised", "value": "2025", "language": null, "element": "date", "qualifier": "digitised", "schema": "dc"}, {"key": "dc.type.okm", "value": "G4", "language": null, "element": "type", "qualifier": "okm", "schema": "dc"}]
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