ΑΝΙΣΟΤΗΤΕΣ BONFERRONI-ΑΚΟΛΟΥΘΙΕΣ ΜΕ ΑΥΤΟΣΥΣΧΕΤΙΣΗ ΜΗΔΕΝ

IN THE FIRST PART OF THE DISSERTATION WE PRESENT A METHOD FOR DERIVING IMPROVEDBONFERRONI TYPE UPPER AND LOWER BOUNDS OF EVERY DEGREE M: I) FOR THE PROBABILITY OF THE UNION OF N NOT NECESSARILY EXCHANGEABLE EVENTS, II) FOR THE PROBABILITY THAT EXACTLY M AMONG N EVENTS OCCUR. WE ALSO PROVE THAT THE BONFERRONI, SOBEL-UPPULURI, GALAMBOS AND MARGARITES CN BOUNDS ARE SPECIAL CASES OF THE PROPOSEDBOUNDS. IN THE SECOND PART OF THIS DISSERTATION WE PROVE THAT GOLAY SEQUENCES OF LENGTH N=2.72T, T>0 DO NOT EXIST. WE ALSO DEVELOP ALGORITHMS FOR CONSTRUCTING COMPLEMENTARY SEQUENCES AND ESPECIALLY GOLAY, BASE AND TURYN SEQUENCES USING THE PROPERTIES OF THESE RESULTS: I) GOLAY SEQUENCES OF LENGTH N=98 DO NOT EXIST, II) BASE SEQUENCES OF LENGTHS N+1, N+1, N,N ARE CONSTRUCTED FOR ALL DECOMPOSITIONS OF 4N+2 INTO FOUR SQUARES FOR N=19,20,..,24 AND III) TURYN SEQUENCES OF LENGTHS N=18,...,27 DO NOT EXIST.

Grantor dc:publisher

Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)

Year dc:date

1989

Author dc:creator

• Σωτηράκογλου, Κυριακή

• AUTOCORRELATION FUNCTION
• BAS SEQUENCES
• BONFERRONI INEQUALITIES
• GOLAY SEQUENCES
• TURYN SEQUENCES
• UPPER AND LOWERBOUNDS
• ΑΚΟΛΟΥΘΙΕΣ BASE
• ΑΚΟΛΟΥΘΙΕΣ GOLAY
• ΑΚΟΛΟΥΘΙΕΣ ΤΘΡΥΝ
• ΑΝΙΣΟΤΗΤΕΣ BONFERRONI
• ΑΝΩ ΚΑΙ ΚΑΤΩ ΦΡΑΓΜΑΤΑ
• ΣΥΝΑΡΤΗΣΗ ΑΥΤΟΣΥΣΧΕΤΙΣΗΣ
• Φυσικές Επιστήμες
• Natural Sciences
• Μαθηματικά
• Mathematics

Language dc:language

gre

Identifier

10.12681/eadd/1499

OAI identifier oai:identifier

oai:10442/1499