ΣΥΜΒΟΛΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΘΕΩΡΙΑ ΠΛΗΡΟΦΟΡΙΩΝ

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)

Grantor dc:publisher

University of Ioannina

Year dc:date

1987

Author dc:creator

• Ζωγράφος, Κωνσταντίνος

• 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

Language dc:language

gre

Identifier

10.12681/eadd/0651

OAI identifier oai:identifier

oai:10442/0651