{"id":{"repo_id":"greece","oai_identifier":"oai:10442/0534"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/0534","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"ΑΣΥΜΠΤΩΤΙΚΗ ΘΕΩΡΙΑ ΜΗ ΟΜΟΓΕΝΩΝ ΜΑΡΚΟΒΙΑΝΩΝ ΣΥΣΤΗΜΑΤΩΝ","abstract":"THE FIRST CONTRIBUTION OF THE THESIS IS CONCERNED WITH THE ASYMPTOTIC BEHAVIOUROF VARIANCES AND COVARIANCES IN A MARKOV SYSTEM AND A THEOREM IS PROVIDED WHICH SOLVES THE PROBLEM IN THE MOST GENERAL CASE. IN THE NEXT CHAPTER THE CONCEPT OF CONTINUOUS TIME NON-HOMOGENEOUS MARKOV SYSTEM IS INTRODUCED AND THE LIMITINGSTRUCTURE IS STUDIED. IN CHAPTER 5 FURTHER PROPERTIES OF CONTINUOUS TIME MARKOV SYSTEMS ARE DISCUSSED SUCH AS STABILITY ASYMPTOTIC STABILITY AND WEAK ERGODICITY. IN THE LAST CHAPTER A SENSITIVITY ANALYSIS OF PROMOTION PARAMETERS IN A HIERARCHICAL SYSTEM IS PERFORMED WITH RESPECT TO CHANGES IN THE OTHER PARAMETERS OF THE SYSTEM.","abstract_html":"THE FIRST CONTRIBUTION OF THE THESIS IS CONCERNED WITH THE ASYMPTOTIC BEHAVIOUROF VARIANCES AND COVARIANCES IN A MARKOV SYSTEM AND A THEOREM IS PROVIDED WHICH SOLVES THE PROBLEM IN THE MOST GENERAL CASE. IN THE NEXT CHAPTER THE CONCEPT OF CONTINUOUS TIME NON-HOMOGENEOUS MARKOV SYSTEM IS INTRODUCED AND THE LIMITINGSTRUCTURE IS STUDIED. IN CHAPTER 5 FURTHER PROPERTIES OF CONTINUOUS TIME MARKOV SYSTEMS ARE DISCUSSED SUCH AS STABILITY ASYMPTOTIC STABILITY AND WEAK ERGODICITY. IN THE LAST CHAPTER A SENSITIVITY ANALYSIS OF PROMOTION PARAMETERS IN A HIERARCHICAL SYSTEM IS PERFORMED WITH RESPECT TO CHANGES IN THE OTHER PARAMETERS OF THE SYSTEM.","abstract_has_math":false,"creators":["Γεροντίδης, Ιωάννης"],"institution":"Aristotle University Of Thessaloniki (AUTH)","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":"2026-07-24T02:25:17Z","subjects":["ΑΣΘΕΝΗΣ ΕΡΓΟΔΙΚΟΤΗΤΑ","ΔΙΑΚΥΝΑΝΣΕΙΣ-ΣΥΝΔΙΑΚΥΜΑΝΣΕΙΣ","ΕΥΑΙΣΘΗΣΙΑ ΠΑΡΑΜΕΤΡΩΝ","Ευστάθεια","ΙΕΡΑΡΧΙΚΑ ΣΥΣΤΗΜΑΤΑ","ΜΑΡΚΟΒΙΑΝΑ ΣΥΣΤΗΜΑΤΑ","ΠΡΟΓΡΑΜΜΑΤΙΣΜΟΣ ΑΝΘΡΩΠΙΝΟΥ ΔΥΝΑΜΙΚΟΥ","Στοχαστικές διαδικασίες","HIERARCHICAL SYSTEMS","Manpower planning","MARKOV SYSTEMS","Sensitivity","Stability","Stochastic processes","Variances - covariances","WEAK ERGODICITY","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"languages":["gre"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0534"],"render_values":[{"text":"10.12681/eadd/0534","href":"https://doi.org/10.12681/eadd/0534","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10442/hedi/0534","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Γεροντίδης, Ιωάννης"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1987"]},{"key":"dc:publisher","label":"Institution","values":["Aristotle University Of Thessaloniki (AUTH)","Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)"]},{"key":"dc:type","label":"Dc Type","values":["PhD Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["ΑΣΘΕΝΗΣ ΕΡΓΟΔΙΚΟΤΗΤΑ","ΔΙΑΚΥΝΑΝΣΕΙΣ-ΣΥΝΔΙΑΚΥΜΑΝΣΕΙΣ","ΕΥΑΙΣΘΗΣΙΑ ΠΑΡΑΜΕΤΡΩΝ","Ευστάθεια","ΙΕΡΑΡΧΙΚΑ ΣΥΣΤΗΜΑΤΑ","ΜΑΡΚΟΒΙΑΝΑ ΣΥΣΤΗΜΑΤΑ","ΠΡΟΓΡΑΜΜΑΤΙΣΜΟΣ ΑΝΘΡΩΠΙΝΟΥ ΔΥΝΑΜΙΚΟΥ","Στοχαστικές διαδικασίες","HIERARCHICAL SYSTEMS","Manpower planning","MARKOV SYSTEMS","Sensitivity","Stability","Stochastic processes","Variances - covariances","WEAK ERGODICITY","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/0534","http://hdl.handle.net/10442/hedi/0534"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["THE FIRST CONTRIBUTION OF THE THESIS IS CONCERNED WITH THE ASYMPTOTIC BEHAVIOUROF VARIANCES AND COVARIANCES IN A MARKOV SYSTEM AND A THEOREM IS PROVIDED WHICH SOLVES THE PROBLEM IN THE MOST GENERAL CASE. IN THE NEXT CHAPTER THE CONCEPT OF CONTINUOUS TIME NON-HOMOGENEOUS MARKOV SYSTEM IS INTRODUCED AND THE LIMITINGSTRUCTURE IS STUDIED. IN CHAPTER 5 FURTHER PROPERTIES OF CONTINUOUS TIME MARKOV SYSTEMS ARE DISCUSSED SUCH AS STABILITY ASYMPTOTIC STABILITY AND WEAK ERGODICITY. IN THE LAST CHAPTER A SENSITIVITY ANALYSIS OF PROMOTION PARAMETERS IN A HIERARCHICAL SYSTEM IS PERFORMED WITH RESPECT TO CHANGES IN THE OTHER PARAMETERS OF THE SYSTEM.","ΣΤΟ ΠΡΩΤΟ ΠΡΩΤΟΤΥΠΟ ΚΕΦΑΛΑΙΟ ΤΗΣ ΔΙΑΤΡΙΒΗΣ ΜΕΛΕΤΑΤΑΙ Η ΑΣΥΜΠΤΩΤΙΚΗ ΣΥΜΠΕΡΙΦΟΡΑ ΤΟΥ ΔΙΑΝΥΣΜΑΤΟΣ ΜΕΣΩΝ ΤΙΜΩΝ ΔΙΑΚΥΜΑΝΣΕΩΝ ΚΑΙ ΣΥΝΔΙΑΚΥΜΑΝΣΕΩΝ ΕΝΟΣ ΜΑΡΚΟΒΙΑΝΟΥ ΣΥΣΤΗΜΑΤΟΣ ΚΑΙ ΤΟ ΘΕΩΡΗΜΑ ΠΟΥ ΔΙΑΤΥΠΩΝΕΤΑΙ ΔΙΝΕΙ ΑΠΑΝΤΗΣΗ ΣΤΟ ΠΡΟΒΛΗΜΑ ΓΙΑ ΤΗΝ ΠΙΟ ΓΕΝΙΚΗ ΠΕΡΙΠΤΩΣΗ. ΣΤΟ ΔΕΥΤΕΡΟ ΠΡΩΤΟΤΥΠΟ ΚΕΦΑΛΑΙΟ ΤΗΣ ΔΙΑΤΡΙΒΗΣ ΕΙΣΑΓΕΤΑΙ Η ΕΝΝΟΙΑ ΤΟΥ ΜΗ ΟΜΟΓΕΝΟΥΣ ΜΑΡΚΟΒΙΑΝΟΥ ΣΥΣΤΗΜΑΤΟΣ ΣΕ ΧΡΟΝΟ ΣΥΝΕΧΗ ΚΑΙ ΜΕΛΕΤΑΤΑΙ Η ΑΣΥΜΠΤΩΤΙΚΗ ΣΥΜΠΕΡΙΦΟΡΑ ΤΗΣ ΠΛΗΘΥΣΜΙΑΚΗΣ ΔΟΜΗΣ. ΣΤΟ ΤΡΙΤΟ ΠΡΩΤΟΤΥΠΟ ΚΕΦΑΛΑΙΟ ΜΕΛΕΤΩΝΤΑΙ ΕΠΙ ΜΕΡΟΥΣ ΙΔΙΟΤΗΤΕΣ ΤΩΝ ΜΑΡΚΟΒΙΑΝΩΝ ΣΥΣΤΗΜΑΤΩΝ ΟΠΩΣ Η ΕΥΣΤΑΘΕΙΑ, Η ΑΣΥΜΠΤΩΤΙΚΗ ΕΥΣΤΑΘΕΙΑ ΚΑΙ Η ΑΣΘΕΝΗΣ ΕΡΓΟΔΙΚΟΤΗΤΑ. ΣΤΟ ΤΕΛΕΥΤΑΙΟ ΚΕΦΑΛΑΙΟ ΜΕΛΕΤΑΤΑΙΗ ΕΥΑΙΣΘΗΣΙΑ ΠΟΥ ΠΑΡΟΥΣΙΑ ΟΙ ΠΑΡΑΜΕΤΡΟΙ ΠΡΟΑΓΩΓΗΣ ΕΝΟΣ ΙΕΡΑΡΧΙΚΟΥ ΣΥΣΤΗΜΑΤΟΣ ΣΕ ΣΧΕΣΗ ΜΕ ΤΙΣ ΜΕΤΑΒΟΛΕΣ ΤΩΝ ΥΠΟΛΟΙΠΩΝ ΠΑΡΑΜΕΤΡΩΝ."]},{"key":"dc:title","label":"Title","values":["ΑΣΥΜΠΤΩΤΙΚΗ ΘΕΩΡΙΑ ΜΗ ΟΜΟΓΕΝΩΝ ΜΑΡΚΟΒΙΑΝΩΝ ΣΥΣΤΗΜΑΤΩΝ","ASYMPTOTIC THEORY OF NONHOMOGENEOUS MARKOV SYSTEMS"]}]}],"canonical_facts":{"dc:creator":["Γεροντίδης, Ιωάννης"],"dc:date":["1987"],"dc:description":["THE FIRST CONTRIBUTION OF THE THESIS IS CONCERNED WITH THE ASYMPTOTIC BEHAVIOUROF VARIANCES AND COVARIANCES IN A MARKOV SYSTEM AND A THEOREM IS PROVIDED WHICH SOLVES THE PROBLEM IN THE MOST GENERAL CASE. IN THE NEXT CHAPTER THE CONCEPT OF CONTINUOUS TIME NON-HOMOGENEOUS MARKOV SYSTEM IS INTRODUCED AND THE LIMITINGSTRUCTURE IS STUDIED. IN CHAPTER 5 FURTHER PROPERTIES OF CONTINUOUS TIME MARKOV SYSTEMS ARE DISCUSSED SUCH AS STABILITY ASYMPTOTIC STABILITY AND WEAK ERGODICITY. IN THE LAST CHAPTER A SENSITIVITY ANALYSIS OF PROMOTION PARAMETERS IN A HIERARCHICAL SYSTEM IS PERFORMED WITH RESPECT TO CHANGES IN THE OTHER PARAMETERS OF THE SYSTEM.","ΣΤΟ ΠΡΩΤΟ ΠΡΩΤΟΤΥΠΟ ΚΕΦΑΛΑΙΟ ΤΗΣ ΔΙΑΤΡΙΒΗΣ ΜΕΛΕΤΑΤΑΙ Η ΑΣΥΜΠΤΩΤΙΚΗ ΣΥΜΠΕΡΙΦΟΡΑ ΤΟΥ ΔΙΑΝΥΣΜΑΤΟΣ ΜΕΣΩΝ ΤΙΜΩΝ ΔΙΑΚΥΜΑΝΣΕΩΝ ΚΑΙ ΣΥΝΔΙΑΚΥΜΑΝΣΕΩΝ ΕΝΟΣ ΜΑΡΚΟΒΙΑΝΟΥ ΣΥΣΤΗΜΑΤΟΣ ΚΑΙ ΤΟ ΘΕΩΡΗΜΑ ΠΟΥ ΔΙΑΤΥΠΩΝΕΤΑΙ ΔΙΝΕΙ ΑΠΑΝΤΗΣΗ ΣΤΟ ΠΡΟΒΛΗΜΑ ΓΙΑ ΤΗΝ ΠΙΟ ΓΕΝΙΚΗ ΠΕΡΙΠΤΩΣΗ. ΣΤΟ ΔΕΥΤΕΡΟ ΠΡΩΤΟΤΥΠΟ ΚΕΦΑΛΑΙΟ ΤΗΣ ΔΙΑΤΡΙΒΗΣ ΕΙΣΑΓΕΤΑΙ Η ΕΝΝΟΙΑ ΤΟΥ ΜΗ ΟΜΟΓΕΝΟΥΣ ΜΑΡΚΟΒΙΑΝΟΥ ΣΥΣΤΗΜΑΤΟΣ ΣΕ ΧΡΟΝΟ ΣΥΝΕΧΗ ΚΑΙ ΜΕΛΕΤΑΤΑΙ Η ΑΣΥΜΠΤΩΤΙΚΗ ΣΥΜΠΕΡΙΦΟΡΑ ΤΗΣ ΠΛΗΘΥΣΜΙΑΚΗΣ ΔΟΜΗΣ. ΣΤΟ ΤΡΙΤΟ ΠΡΩΤΟΤΥΠΟ ΚΕΦΑΛΑΙΟ ΜΕΛΕΤΩΝΤΑΙ ΕΠΙ ΜΕΡΟΥΣ ΙΔΙΟΤΗΤΕΣ ΤΩΝ ΜΑΡΚΟΒΙΑΝΩΝ ΣΥΣΤΗΜΑΤΩΝ ΟΠΩΣ Η ΕΥΣΤΑΘΕΙΑ, Η ΑΣΥΜΠΤΩΤΙΚΗ ΕΥΣΤΑΘΕΙΑ ΚΑΙ Η ΑΣΘΕΝΗΣ ΕΡΓΟΔΙΚΟΤΗΤΑ. ΣΤΟ ΤΕΛΕΥΤΑΙΟ ΚΕΦΑΛΑΙΟ ΜΕΛΕΤΑΤΑΙΗ ΕΥΑΙΣΘΗΣΙΑ ΠΟΥ ΠΑΡΟΥΣΙΑ ΟΙ ΠΑΡΑΜΕΤΡΟΙ ΠΡΟΑΓΩΓΗΣ ΕΝΟΣ ΙΕΡΑΡΧΙΚΟΥ ΣΥΣΤΗΜΑΤΟΣ ΣΕ ΣΧΕΣΗ ΜΕ ΤΙΣ ΜΕΤΑΒΟΛΕΣ ΤΩΝ ΥΠΟΛΟΙΠΩΝ ΠΑΡΑΜΕΤΡΩΝ."],"dc:identifier":["10.12681/eadd/0534","http://hdl.handle.net/10442/hedi/0534"],"dc:language":["gre"],"dc:publisher":["Aristotle University Of Thessaloniki (AUTH)","Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)"],"dc:subject":["ΑΣΘΕΝΗΣ ΕΡΓΟΔΙΚΟΤΗΤΑ","ΔΙΑΚΥΝΑΝΣΕΙΣ-ΣΥΝΔΙΑΚΥΜΑΝΣΕΙΣ","ΕΥΑΙΣΘΗΣΙΑ ΠΑΡΑΜΕΤΡΩΝ","Ευστάθεια","ΙΕΡΑΡΧΙΚΑ ΣΥΣΤΗΜΑΤΑ","ΜΑΡΚΟΒΙΑΝΑ ΣΥΣΤΗΜΑΤΑ","ΠΡΟΓΡΑΜΜΑΤΙΣΜΟΣ ΑΝΘΡΩΠΙΝΟΥ ΔΥΝΑΜΙΚΟΥ","Στοχαστικές διαδικασίες","HIERARCHICAL SYSTEMS","Manpower planning","MARKOV SYSTEMS","Sensitivity","Stability","Stochastic processes","Variances - covariances","WEAK ERGODICITY","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"dc:title":["ΑΣΥΜΠΤΩΤΙΚΗ ΘΕΩΡΙΑ ΜΗ ΟΜΟΓΕΝΩΝ ΜΑΡΚΟΒΙΑΝΩΝ ΣΥΣΤΗΜΑΤΩΝ","ASYMPTOTIC THEORY OF NONHOMOGENEOUS MARKOV SYSTEMS"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:25:17Z"}