{"id":{"repo_id":"greece","oai_identifier":"oai:10442/0639"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/0639","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"ΑΣΘΕΝΩΣ ΕΞΗΡΤΗΜΕΝΕΣ ΤΥΧΑΙΕΣ ΜΕΤΑΒΛΗΤΕΣ ΚΑΙ ΜΗ ΠΑΡΑΜΕΤΡΙΚΗ ΕΚΤΙΜΗΣΗ ΠΥΚΝΟΤΗΤΑΣ ΠΙΘΑΝΟΤΗΤΑΣ","abstract":"IN THIS WORK THE DEFINITION OF WEAKLY DEPENDENT RANDOM VARIABLES ARE GIVEN. KNOWN AND NEW RESULTS ARE GIVEN WITH A VIEW TO MAKING THEM READILY AVAILABLE FOR CERTAIN STATISTICAL APPLICATIONS. EXPONENTIAL PROBABILITY BOUNDS FOR SUMS OF TRIANGULAR ARRAY OF WEAKLY DEPENDENT RANDOM VARIABLES ARE GIVEN, AND A MOMENT INEQUALITY FOR A SUMS TRIANGULAR ARRAYS OF WEAKLY DEPENDENT RANDOM VARIABLES. AT LEAST WAS STUDIED THE STRONG UNIFORMLY CONSISTENCY OF NONPARAMETRIC ESTIMATORS ONTHE COMPACT SUBSETS OF IR+, T=1,2,..., AND THE WHOLE SPACE.","abstract_html":"IN THIS WORK THE DEFINITION OF WEAKLY DEPENDENT RANDOM VARIABLES ARE GIVEN. KNOWN AND NEW RESULTS ARE GIVEN WITH A VIEW TO MAKING THEM READILY AVAILABLE FOR CERTAIN STATISTICAL APPLICATIONS. EXPONENTIAL PROBABILITY BOUNDS FOR SUMS OF TRIANGULAR ARRAY OF WEAKLY DEPENDENT RANDOM VARIABLES ARE GIVEN, AND A MOMENT INEQUALITY FOR A SUMS TRIANGULAR ARRAYS OF WEAKLY DEPENDENT RANDOM VARIABLES. AT LEAST WAS STUDIED THE STRONG UNIFORMLY CONSISTENCY OF NONPARAMETRIC ESTIMATORS ONTHE COMPACT SUBSETS OF IR+, T=1,2,..., AND THE WHOLE SPACE.","abstract_has_math":false,"creators":["Ioannides, Dimitrios","Ιωαννίδης, Δημήτριος"],"institution":"University of Patras","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1988,"date_issued":"1988","date_published":"1988","updated_at":"2026-07-24T02:25:24Z","subjects":["ΑΣΘΕΝΩΣ ΕΞΗΡΤΗΜΕΝΕΣ ΤΥΧΑΙΕΣ ΜΕΤΑΒΛΗΤΕΣ","ΕΚΤΙΜΗΤΗΣ ΠΥΡΗΝΑΣ","ΜΕΘΟΔΟΣ ΠΥΡΗΝA","ΜΕΙΓΝΥΟΥΣΕΣ ΤΥΧΑΙΕΣ ΜΕΤΑΒΛΗΤΕΣ","ΟΜΟΙΟΜΟΡΦΗ ΙΣΧΥΡΗ ΣΥΝΕΠΕΙΑ ΕΚΤΙΜΗΤΩΝ","ΣΥΝΕΠΕΙΑ ΕΚΤΙΜΗΤΩΝ","CONSISTENCY OF ESTIMATOR","Kernel estimation","KERNEL ESTIMATOR","MIXING RANDOM VARIABLES","WEEKLY DEPENDENT RANDOM VARIABLES","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"languages":["gre"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0639"],"render_values":[{"text":"10.12681/eadd/0639","href":"https://doi.org/10.12681/eadd/0639","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10442/hedi/0639","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Ioannides, Dimitrios","Ιωαννίδης, Δημήτριος"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1988"]},{"key":"dc:publisher","label":"Institution","values":["University of Patras","Πανεπιστήμιο Πατρών"]},{"key":"dc:type","label":"Dc Type","values":["PhD Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["ΑΣΘΕΝΩΣ ΕΞΗΡΤΗΜΕΝΕΣ ΤΥΧΑΙΕΣ ΜΕΤΑΒΛΗΤΕΣ","ΕΚΤΙΜΗΤΗΣ ΠΥΡΗΝΑΣ","ΜΕΘΟΔΟΣ ΠΥΡΗΝA","ΜΕΙΓΝΥΟΥΣΕΣ ΤΥΧΑΙΕΣ ΜΕΤΑΒΛΗΤΕΣ","ΟΜΟΙΟΜΟΡΦΗ ΙΣΧΥΡΗ ΣΥΝΕΠΕΙΑ ΕΚΤΙΜΗΤΩΝ","ΣΥΝΕΠΕΙΑ ΕΚΤΙΜΗΤΩΝ","CONSISTENCY OF ESTIMATOR","Kernel estimation","KERNEL ESTIMATOR","MIXING RANDOM VARIABLES","WEEKLY DEPENDENT RANDOM VARIABLES","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/0639","http://hdl.handle.net/10442/hedi/0639"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["IN THIS WORK THE DEFINITION OF WEAKLY DEPENDENT RANDOM VARIABLES ARE GIVEN. KNOWN AND NEW RESULTS ARE GIVEN WITH A VIEW TO MAKING THEM READILY AVAILABLE FOR CERTAIN STATISTICAL APPLICATIONS. EXPONENTIAL PROBABILITY BOUNDS FOR SUMS OF TRIANGULAR ARRAY OF WEAKLY DEPENDENT RANDOM VARIABLES ARE GIVEN, AND A MOMENT INEQUALITY FOR A SUMS TRIANGULAR ARRAYS OF WEAKLY DEPENDENT RANDOM VARIABLES. AT LEAST WAS STUDIED THE STRONG UNIFORMLY CONSISTENCY OF NONPARAMETRIC ESTIMATORS ONTHE COMPACT SUBSETS OF IR+, T=1,2,..., AND THE WHOLE SPACE.","ΔΙΝΟΝΤΑΙ ΟΙ ΟΡΙΣΜΟΙ ΕΞΗΡΤΗΜΕΝΩΝ ΤΥΧΑΙΩΝ ΜΕΤΑΒΛΗΤΩΝ, ΚΑΙ ΠΑΡΟΥΣΙΑΖΟΝΤΑΙ ΓΝΩΣΤΑ ΚΑΙ ΝΕΑ ΑΠΟΤΕΛΕΣΜΑΤΑ ΠΟΥ ΑΦΟΡΟΥΝ ΑΥΤΑ ΤΑ ΕΙΔΗ ΤΥΧΑΙΩΝ ΜΕΤΑΒΛΗΤΩΝ, ΠΡΟΣΑΡΜΟΣΜΕΝΑ ΣΤΙΣ ΣΤΑΤΙΣΤΙΚΕΣ ΕΦΑΡΜΟΓΕΣ . ΕΠΙΤΥΓΧΑΝΟΝΤΑΙ ΕΚΘΕΤΙΚΑ ΑΝΩ ΦΡΑΓΜΑΤΑ ΠΙΘΑΝΟΤΗΤΑΣ ΓΙΑ ΑΘΡΟΙΣΜΑΤΑ ΤΥΧΑΙΩΝ ΜΕΤΑΒΛΗΤΩΝ ΤΡΙΓΩΝΙΚΗΣ ΔΙΑΤΑΞΗΣ ΩΣ ΕΠΙΣΗΣ ΚΑΙ ΦΡΑΓΜΑΤΑ ΡΟΠΩΝ ΑΘΡΟΙΣΜΑΤΩΝ ΤΥΧΑΙΩΝ ΜΕΤΑΒΛΗΤΩΝ ΤΡΙΓΩΝΙΚΗΣ ΔΙΑΤΑΞΗΣ. ΤΕΛΟΣ, ΜΕΛΕΤΑΤΑΙ Η ΟΜΟΙΟΜΟΡΦΗ ΙΣΧΥΡΗ ΣΥΝΕΠΕΙΑ ΕΚΤΙΜΗΤΩΝ ΤΗΣ ΠΥΚΝΟΤΗΤΑΣ ΠΙΘΑΝΟΤΗΤΑΣ ΣΕ ΣΥΜΠΑΓΗ ΥΠΟΣΥΝΟΛΑΤΟΥ IR+, T=1,2,..., ΚΑΙ Σ'ΟΛΟΚΛΗΡΟ ΤΟΝ IR+, ΜΕ ΤΥΧΑΙΟ ΔΕΙΓΜΑ ΠΟΥ ΠΡΟΕΡΧΕΤΑΙ ΑΠΟ ΤΙΣ ΑΣΘΕΝΩΣ ΕΞΗΡΤΗΜΕΝΕΣ ΤΥΧΑΙΕΣ ΜΕΤΑΒΛΗΤΕΣ."]},{"key":"dc:title","label":"Title","values":["ΑΣΘΕΝΩΣ ΕΞΗΡΤΗΜΕΝΕΣ ΤΥΧΑΙΕΣ ΜΕΤΑΒΛΗΤΕΣ ΚΑΙ ΜΗ ΠΑΡΑΜΕΤΡΙΚΗ ΕΚΤΙΜΗΣΗ ΠΥΚΝΟΤΗΤΑΣ ΠΙΘΑΝΟΤΗΤΑΣ","WEAKLY DEPENDENT RANDOM VARIABLES NONPARAMETRIC ESTIMATION OF A PROBABILITY DENSITY FUNCTION"]}]}],"canonical_facts":{"dc:creator":["Ioannides, Dimitrios","Ιωαννίδης, Δημήτριος"],"dc:date":["1988"],"dc:description":["IN THIS WORK THE DEFINITION OF WEAKLY DEPENDENT RANDOM VARIABLES ARE GIVEN. KNOWN AND NEW RESULTS ARE GIVEN WITH A VIEW TO MAKING THEM READILY AVAILABLE FOR CERTAIN STATISTICAL APPLICATIONS. EXPONENTIAL PROBABILITY BOUNDS FOR SUMS OF TRIANGULAR ARRAY OF WEAKLY DEPENDENT RANDOM VARIABLES ARE GIVEN, AND A MOMENT INEQUALITY FOR A SUMS TRIANGULAR ARRAYS OF WEAKLY DEPENDENT RANDOM VARIABLES. AT LEAST WAS STUDIED THE STRONG UNIFORMLY CONSISTENCY OF NONPARAMETRIC ESTIMATORS ONTHE COMPACT SUBSETS OF IR+, T=1,2,..., AND THE WHOLE SPACE.","ΔΙΝΟΝΤΑΙ ΟΙ ΟΡΙΣΜΟΙ ΕΞΗΡΤΗΜΕΝΩΝ ΤΥΧΑΙΩΝ ΜΕΤΑΒΛΗΤΩΝ, ΚΑΙ ΠΑΡΟΥΣΙΑΖΟΝΤΑΙ ΓΝΩΣΤΑ ΚΑΙ ΝΕΑ ΑΠΟΤΕΛΕΣΜΑΤΑ ΠΟΥ ΑΦΟΡΟΥΝ ΑΥΤΑ ΤΑ ΕΙΔΗ ΤΥΧΑΙΩΝ ΜΕΤΑΒΛΗΤΩΝ, ΠΡΟΣΑΡΜΟΣΜΕΝΑ ΣΤΙΣ ΣΤΑΤΙΣΤΙΚΕΣ ΕΦΑΡΜΟΓΕΣ . ΕΠΙΤΥΓΧΑΝΟΝΤΑΙ ΕΚΘΕΤΙΚΑ ΑΝΩ ΦΡΑΓΜΑΤΑ ΠΙΘΑΝΟΤΗΤΑΣ ΓΙΑ ΑΘΡΟΙΣΜΑΤΑ ΤΥΧΑΙΩΝ ΜΕΤΑΒΛΗΤΩΝ ΤΡΙΓΩΝΙΚΗΣ ΔΙΑΤΑΞΗΣ ΩΣ ΕΠΙΣΗΣ ΚΑΙ ΦΡΑΓΜΑΤΑ ΡΟΠΩΝ ΑΘΡΟΙΣΜΑΤΩΝ ΤΥΧΑΙΩΝ ΜΕΤΑΒΛΗΤΩΝ ΤΡΙΓΩΝΙΚΗΣ ΔΙΑΤΑΞΗΣ. ΤΕΛΟΣ, ΜΕΛΕΤΑΤΑΙ Η ΟΜΟΙΟΜΟΡΦΗ ΙΣΧΥΡΗ ΣΥΝΕΠΕΙΑ ΕΚΤΙΜΗΤΩΝ ΤΗΣ ΠΥΚΝΟΤΗΤΑΣ ΠΙΘΑΝΟΤΗΤΑΣ ΣΕ ΣΥΜΠΑΓΗ ΥΠΟΣΥΝΟΛΑΤΟΥ IR+, T=1,2,..., ΚΑΙ Σ'ΟΛΟΚΛΗΡΟ ΤΟΝ IR+, ΜΕ ΤΥΧΑΙΟ ΔΕΙΓΜΑ ΠΟΥ ΠΡΟΕΡΧΕΤΑΙ ΑΠΟ ΤΙΣ ΑΣΘΕΝΩΣ ΕΞΗΡΤΗΜΕΝΕΣ ΤΥΧΑΙΕΣ ΜΕΤΑΒΛΗΤΕΣ."],"dc:identifier":["10.12681/eadd/0639","http://hdl.handle.net/10442/hedi/0639"],"dc:language":["gre"],"dc:publisher":["University of Patras","Πανεπιστήμιο Πατρών"],"dc:subject":["ΑΣΘΕΝΩΣ ΕΞΗΡΤΗΜΕΝΕΣ ΤΥΧΑΙΕΣ ΜΕΤΑΒΛΗΤΕΣ","ΕΚΤΙΜΗΤΗΣ ΠΥΡΗΝΑΣ","ΜΕΘΟΔΟΣ ΠΥΡΗΝA","ΜΕΙΓΝΥΟΥΣΕΣ ΤΥΧΑΙΕΣ ΜΕΤΑΒΛΗΤΕΣ","ΟΜΟΙΟΜΟΡΦΗ ΙΣΧΥΡΗ ΣΥΝΕΠΕΙΑ ΕΚΤΙΜΗΤΩΝ","ΣΥΝΕΠΕΙΑ ΕΚΤΙΜΗΤΩΝ","CONSISTENCY OF ESTIMATOR","Kernel estimation","KERNEL ESTIMATOR","MIXING RANDOM VARIABLES","WEEKLY DEPENDENT RANDOM VARIABLES","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"dc:title":["ΑΣΘΕΝΩΣ ΕΞΗΡΤΗΜΕΝΕΣ ΤΥΧΑΙΕΣ ΜΕΤΑΒΛΗΤΕΣ ΚΑΙ ΜΗ ΠΑΡΑΜΕΤΡΙΚΗ ΕΚΤΙΜΗΣΗ ΠΥΚΝΟΤΗΤΑΣ ΠΙΘΑΝΟΤΗΤΑΣ","WEAKLY DEPENDENT RANDOM VARIABLES NONPARAMETRIC ESTIMATION OF A PROBABILITY DENSITY FUNCTION"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:25:24Z"}