{"id":{"repo_id":"greece","oai_identifier":"oai:10442/0651"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/0651","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"ΣΥΜΒΟΛΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΘΕΩΡΙΑ ΠΛΗΡΟΦΟΡΙΩΝ","abstract":"THERE ARE SEVERAL MEASURES OF INFORMATION (M.O.I) WHICH ARE USED FOR VARIOUS PURPOSES AND WITHIN DIFFERENT CONTEXTS IN STATISTICS AND RELATED FIELDS. THE MOSTWELL KNOWN MEASURES ARE THOSE OF FISHER, KULLBACK-LEIBLER, RENYI AND SHANNON. THE M.O.I. ARE FOUNDED BY THE PROPERTIES WHICH THEY SATISFY. SOME OF THEM HAVE AXIOMATIC ORIGINS WHILE OTHERS ARE OF OPERATIONAL CHARACTER IN THE SENSE THAT THERE ARE IMPORTANT STATISTICAL RESULTS INVOLVING M.O.I. THE THESIS IS DEVOTED TO THE STUDY OF SOME STATISTICAL PROPERTIES FOR PARAMETRIC (FISHER'S TYPE) AND NON PARAMETRIC (KULLBACK-LEIBLER OR DIVERGENCE'S TYPE) M.O.I. APPLICATIONS OF THESE PROPERTIES IN PROBABILITY AND STATISTICS ARE ALSO DISCUSSED AND ILLUSTRATED. (SHORTENED)","abstract_html":"THERE ARE SEVERAL MEASURES OF INFORMATION (M.O.I) WHICH ARE USED FOR VARIOUS PURPOSES AND WITHIN DIFFERENT CONTEXTS IN STATISTICS AND RELATED FIELDS. THE MOSTWELL KNOWN MEASURES ARE THOSE OF FISHER, KULLBACK-LEIBLER, RENYI AND SHANNON. THE M.O.I. ARE FOUNDED BY THE PROPERTIES WHICH THEY SATISFY. SOME OF THEM HAVE AXIOMATIC ORIGINS WHILE OTHERS ARE OF OPERATIONAL CHARACTER IN THE SENSE THAT THERE ARE IMPORTANT STATISTICAL RESULTS INVOLVING M.O.I. THE THESIS IS DEVOTED TO THE STUDY OF SOME STATISTICAL PROPERTIES FOR PARAMETRIC (FISHER'S TYPE) AND NON PARAMETRIC (KULLBACK-LEIBLER OR DIVERGENCE'S TYPE) M.O.I. APPLICATIONS OF THESE PROPERTIES IN PROBABILITY AND STATISTICS ARE ALSO DISCUSSED AND ILLUSTRATED. (SHORTENED)","abstract_has_math":false,"creators":["Ζωγράφος, Κωνσταντίνος"],"institution":"University of Ioannina","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1987,"date_issued":"1987","date_published":"1987","updated_at":"2026-07-24T02:25:24Z","subjects":["Απώλεια πληροφορίας","Διακριτοποίηση","ΙΔΙΟΤΗΤΑ ΔΙΑΤΗΡΗΣΗΣ ΤΗΣ ΔΙΑΤΑΞΗΣ","Μέτρα πληροφορίας","ΜΕΤΡΑ ΠΛΗΡΟΦΟΡΙΑΣ ΤΥΠΟΥ FISHER","ΟΡΙΑΚΕΣ ΙΔΙΟΤΗΤΕΣ ΤΩΝ ΜΕΤΡΩΝ ΠΛΗΡΟΦΟΡΙΑΣ","ΣΤΑΤΙΣΤΙΚΗ ΘΕΩΡΙΑ ΠΛΗΡΟΦΟΡΙΩΝ","Discretization","FISHER TYPE MEASURES OF INFORMATION","KULLBACK-LEIBLER OR DIVERGENCE TYPE MEASURES","LIMITING PROPERTIES OF MEASURES OF INFORMATION","Measures of information","ORDER PRESERVING PROPERTY","STATISTICAL INFORMATION THEORY","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"languages":["gre"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0651"],"render_values":[{"text":"10.12681/eadd/0651","href":"https://doi.org/10.12681/eadd/0651","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10442/hedi/0651","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Ζωγράφος, Κωνσταντίνος"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1987"]},{"key":"dc:publisher","label":"Institution","values":["University of Ioannina","Πανεπιστήμιο Ιωαννίνων"]},{"key":"dc:type","label":"Dc Type","values":["PhD Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Απώλεια πληροφορίας","Διακριτοποίηση","ΙΔΙΟΤΗΤΑ ΔΙΑΤΗΡΗΣΗΣ ΤΗΣ ΔΙΑΤΑΞΗΣ","Μέτρα πληροφορίας","ΜΕΤΡΑ ΠΛΗΡΟΦΟΡΙΑΣ ΤΥΠΟΥ FISHER","ΟΡΙΑΚΕΣ ΙΔΙΟΤΗΤΕΣ ΤΩΝ ΜΕΤΡΩΝ ΠΛΗΡΟΦΟΡΙΑΣ","ΣΤΑΤΙΣΤΙΚΗ ΘΕΩΡΙΑ ΠΛΗΡΟΦΟΡΙΩΝ","Discretization","FISHER TYPE MEASURES OF INFORMATION","KULLBACK-LEIBLER OR DIVERGENCE TYPE MEASURES","LIMITING PROPERTIES OF MEASURES OF INFORMATION","Measures of information","ORDER PRESERVING PROPERTY","STATISTICAL INFORMATION THEORY","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["gre"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0651","http://hdl.handle.net/10442/hedi/0651"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["THERE ARE SEVERAL MEASURES OF INFORMATION (M.O.I) WHICH ARE USED FOR VARIOUS PURPOSES AND WITHIN DIFFERENT CONTEXTS IN STATISTICS AND RELATED FIELDS. THE MOSTWELL KNOWN MEASURES ARE THOSE OF FISHER, KULLBACK-LEIBLER, RENYI AND SHANNON. THE M.O.I. ARE FOUNDED BY THE PROPERTIES WHICH THEY SATISFY. SOME OF THEM HAVE AXIOMATIC ORIGINS WHILE OTHERS ARE OF OPERATIONAL CHARACTER IN THE SENSE THAT THERE ARE IMPORTANT STATISTICAL RESULTS INVOLVING M.O.I. THE THESIS IS DEVOTED TO THE STUDY OF SOME STATISTICAL PROPERTIES FOR PARAMETRIC (FISHER'S TYPE) AND NON PARAMETRIC (KULLBACK-LEIBLER OR DIVERGENCE'S TYPE) M.O.I. APPLICATIONS OF THESE PROPERTIES IN PROBABILITY AND STATISTICS ARE ALSO DISCUSSED AND ILLUSTRATED. (SHORTENED)","ΥΠΑΡΧΟΥΝ ΑΡΚΕΤΑ ΜΕΤΡΑ ΠΛΗΡΟΦΟΡΙΑΣ (Μ.Π) ΤΑ ΟΠΟΙΑ ΧΡΗΣΙΜΟΠΟΙΟΥΝΤΑΙ ΓΙΑ ΠΟΙΚΙΛΟΥΣΣΚΟΠΟΥΣ ΚΑΙ ΣΕ ΔΙΑΦΟΡΕΤΙΚΑ ΕΝΝΟΙΟΛΟΓΙΚΑ ΠΛΑΙΣΙΑ ΤΟΣΟ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΟΣΟ ΚΑΙ ΣΕΣΥΓΓΕΝΕΙΣ ΠΕΡΙΟΧΕΣ. ΤΑ ΠΙΟ ΓΝΩΣΤΑ ΕΙΝΑΙ ΤΑ Μ.Π ΤΩΝ FISHER, KULLBACK- LEIBLER, RENYI ΚΑΙ SHANNON. ΤΑ Μ.Π ΘΕΜΕΛΙΩΝΟΝΤΑΙ ΑΠΟ ΤΙΣ ΙΔΙΟΤΗΤΕΣ ΤΙΣ ΟΠΟΙΕΣ ΙΚΑΝΟΠΟΙΟΥΝ. ΜΕΡΙΚΕΣ ΑΠΟ ΑΥΤΕΣ ΕΧΟΥΝ ΑΞΙΩΜΑΤΙΚΗ-ΔΙΑΙΣΘΗΤΙΚΗ ΠΡΟΕΛΕΥΣΗ ΕΝΩ ΑΛΛΕΣ ΕΧΟΥΝ ΛΕΙΤΟΥΡΓΙΚΟ ΧΑΡΑΚΤΗΡΑ ΜΕ ΤΗΝ ΕΝΝΟΙΑ ΟΤΙ ΕΜΦΑΝΙΖΟΝΤΑΙ ΣΕ ΣΗΜΑΝΤΙΚΑ ΑΠΟΤΕΛΕΣΜΑΤΑ ΣΤΑΟΠΟΙΑ ΕΜΠΛΕΚΟΝΤΑΙ Μ.Π. ΣΤΗΝ ΔΙΑΤΡΙΒΗ ΑΥΤΗ ΤΟ ΕΝΔΙΑΦΕΡΟΝ ΕΠΙΚΕΝΤΡΩΝΕΤΑΙ ΣΤΗ ΜΕΛΕΤΗ ΔΙΑΦΟΡΩΝ ΣΤΑΤΙΣΤΙΚΩΝ ΙΔΙΟΤΗΤΩΝ ΤΩΝ ΠΑΡΑΜΕΤΡΙΚΩΝ (ΤΥΠΟΥ FISHER) ΚΑΙ ΤΩΝ ΜΗ ΠΑΡΑΜΕΤΡΙΚΩΝ (ΤΥΠΟΥ KULLBACK-LEIBLER) Μ.Π. ΕΠΙΣΗΣ ΠΑΡΟΥΣΙΑΖΟΝΤΑΙ ΚΑΙ ΕΠΕΞΗΓΟΥΝΤΑΙ ΕΦΑΡΜΟΓΕΣ ΤΩΝ ΜΕΤΡΩΝ ΑΥΤΩΝ, ΜΕΣΩ ΤΩΝ ΙΔΙΟΤΗΤΩΝ ΠΟΥ ΜΕΛΕΤΩΝΤΑΙ, ΣΤΙΣ ΠΙΘΑΝΟΤΗΤΕΣ ΚΑΙ ΤΗ ΣΤΑΤΙΣΤΙΚΗ. (ΠΕΡΙΚΟΠΗ)"]},{"key":"dc:title","label":"Title","values":["ΣΥΜΒΟΛΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΘΕΩΡΙΑ ΠΛΗΡΟΦΟΡΙΩΝ","CONTRIBUTIONS TO STATISTICAL INFORMATION THEORY"]}]}],"canonical_facts":{"dc:creator":["Ζωγράφος, Κωνσταντίνος"],"dc:date":["1987"],"dc:description":["THERE ARE SEVERAL MEASURES OF INFORMATION (M.O.I) WHICH ARE USED FOR VARIOUS PURPOSES AND WITHIN DIFFERENT CONTEXTS IN STATISTICS AND RELATED FIELDS. THE MOSTWELL KNOWN MEASURES ARE THOSE OF FISHER, KULLBACK-LEIBLER, RENYI AND SHANNON. THE M.O.I. ARE FOUNDED BY THE PROPERTIES WHICH THEY SATISFY. SOME OF THEM HAVE AXIOMATIC ORIGINS WHILE OTHERS ARE OF OPERATIONAL CHARACTER IN THE SENSE THAT THERE ARE IMPORTANT STATISTICAL RESULTS INVOLVING M.O.I. THE THESIS IS DEVOTED TO THE STUDY OF SOME STATISTICAL PROPERTIES FOR PARAMETRIC (FISHER'S TYPE) AND NON PARAMETRIC (KULLBACK-LEIBLER OR DIVERGENCE'S TYPE) M.O.I. APPLICATIONS OF THESE PROPERTIES IN PROBABILITY AND STATISTICS ARE ALSO DISCUSSED AND ILLUSTRATED. (SHORTENED)","ΥΠΑΡΧΟΥΝ ΑΡΚΕΤΑ ΜΕΤΡΑ ΠΛΗΡΟΦΟΡΙΑΣ (Μ.Π) ΤΑ ΟΠΟΙΑ ΧΡΗΣΙΜΟΠΟΙΟΥΝΤΑΙ ΓΙΑ ΠΟΙΚΙΛΟΥΣΣΚΟΠΟΥΣ ΚΑΙ ΣΕ ΔΙΑΦΟΡΕΤΙΚΑ ΕΝΝΟΙΟΛΟΓΙΚΑ ΠΛΑΙΣΙΑ ΤΟΣΟ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΟΣΟ ΚΑΙ ΣΕΣΥΓΓΕΝΕΙΣ ΠΕΡΙΟΧΕΣ. ΤΑ ΠΙΟ ΓΝΩΣΤΑ ΕΙΝΑΙ ΤΑ Μ.Π ΤΩΝ FISHER, KULLBACK- LEIBLER, RENYI ΚΑΙ SHANNON. ΤΑ Μ.Π ΘΕΜΕΛΙΩΝΟΝΤΑΙ ΑΠΟ ΤΙΣ ΙΔΙΟΤΗΤΕΣ ΤΙΣ ΟΠΟΙΕΣ ΙΚΑΝΟΠΟΙΟΥΝ. ΜΕΡΙΚΕΣ ΑΠΟ ΑΥΤΕΣ ΕΧΟΥΝ ΑΞΙΩΜΑΤΙΚΗ-ΔΙΑΙΣΘΗΤΙΚΗ ΠΡΟΕΛΕΥΣΗ ΕΝΩ ΑΛΛΕΣ ΕΧΟΥΝ ΛΕΙΤΟΥΡΓΙΚΟ ΧΑΡΑΚΤΗΡΑ ΜΕ ΤΗΝ ΕΝΝΟΙΑ ΟΤΙ ΕΜΦΑΝΙΖΟΝΤΑΙ ΣΕ ΣΗΜΑΝΤΙΚΑ ΑΠΟΤΕΛΕΣΜΑΤΑ ΣΤΑΟΠΟΙΑ ΕΜΠΛΕΚΟΝΤΑΙ Μ.Π. ΣΤΗΝ ΔΙΑΤΡΙΒΗ ΑΥΤΗ ΤΟ ΕΝΔΙΑΦΕΡΟΝ ΕΠΙΚΕΝΤΡΩΝΕΤΑΙ ΣΤΗ ΜΕΛΕΤΗ ΔΙΑΦΟΡΩΝ ΣΤΑΤΙΣΤΙΚΩΝ ΙΔΙΟΤΗΤΩΝ ΤΩΝ ΠΑΡΑΜΕΤΡΙΚΩΝ (ΤΥΠΟΥ FISHER) ΚΑΙ ΤΩΝ ΜΗ ΠΑΡΑΜΕΤΡΙΚΩΝ (ΤΥΠΟΥ KULLBACK-LEIBLER) Μ.Π. ΕΠΙΣΗΣ ΠΑΡΟΥΣΙΑΖΟΝΤΑΙ ΚΑΙ ΕΠΕΞΗΓΟΥΝΤΑΙ ΕΦΑΡΜΟΓΕΣ ΤΩΝ ΜΕΤΡΩΝ ΑΥΤΩΝ, ΜΕΣΩ ΤΩΝ ΙΔΙΟΤΗΤΩΝ ΠΟΥ ΜΕΛΕΤΩΝΤΑΙ, ΣΤΙΣ ΠΙΘΑΝΟΤΗΤΕΣ ΚΑΙ ΤΗ ΣΤΑΤΙΣΤΙΚΗ. (ΠΕΡΙΚΟΠΗ)"],"dc:identifier":["10.12681/eadd/0651","http://hdl.handle.net/10442/hedi/0651"],"dc:language":["gre"],"dc:publisher":["University of Ioannina","Πανεπιστήμιο Ιωαννίνων"],"dc:subject":["Απώλεια πληροφορίας","Διακριτοποίηση","ΙΔΙΟΤΗΤΑ ΔΙΑΤΗΡΗΣΗΣ ΤΗΣ ΔΙΑΤΑΞΗΣ","Μέτρα πληροφορίας","ΜΕΤΡΑ ΠΛΗΡΟΦΟΡΙΑΣ ΤΥΠΟΥ FISHER","ΟΡΙΑΚΕΣ ΙΔΙΟΤΗΤΕΣ ΤΩΝ ΜΕΤΡΩΝ ΠΛΗΡΟΦΟΡΙΑΣ","ΣΤΑΤΙΣΤΙΚΗ ΘΕΩΡΙΑ ΠΛΗΡΟΦΟΡΙΩΝ","Discretization","FISHER TYPE MEASURES OF INFORMATION","KULLBACK-LEIBLER OR DIVERGENCE TYPE MEASURES","LIMITING PROPERTIES OF MEASURES OF INFORMATION","Measures of information","ORDER PRESERVING PROPERTY","STATISTICAL INFORMATION THEORY","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"dc:title":["ΣΥΜΒΟΛΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΘΕΩΡΙΑ ΠΛΗΡΟΦΟΡΙΩΝ","CONTRIBUTIONS TO STATISTICAL INFORMATION THEORY"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:25:24Z"}