ΜΕΓΙΣΤΟ ΜΗΚΟΣ ΡΟΗΣ ΕΠΙΤΥΧΙΩΝ ΚΑΙ ΠΟΛΥΩΝΥΜΑ ΤΥΠΟΥ-FIBONACCI

WE CONSIDER A RANDOM VARIABLE N DENOTING THE LONGEST SUCCESS RUN IN N (N>1) BERNOULLI TRIALS WITH SUCCESS PROBABILITY P (O<P<1). WE DERIVE FORMULAS FOR P (LN=K) AND P (LN<K) (1<K<N). WE ALSO DERIVE THE GENERATING FUNCTION AND FACTORIAL MOMENTS OF LN. OUR FORMULAS ARE IN TERMS OF FIBONACCI-TYPE POLYNOMIALS OF ORDER K. WE INTRODUCE AND STUDY A NEW DISTRIBUTION, THE BINOMIAL DISTRIBUTION OF ORDER K AND DERIVE THE EXACT DISTRIBUTION OF IT. APPLICATIONS OF THE RANDOM VARIABLES WHICH WE STUDY ARE GIVEN IN RELIABILITY OF CONSECUTIVE-K-OUT-OF-N F SYSTEMS.WE ALSO GIVE THE RELIABILITY OF A STRICT-CONSECUTIVE-K-OUT-OF-F SYSTEM.

Grantor dc:publisher

University of Patras

Year dc:date

1989

Author dc:creator

• Μακρή, Ευφροσύνη

• Αξιοπιστία συστημάτων
• ΑΥΣΤΗΡΟ-ΣΥΝΕΧΟΜΕΝΟ-Κ-ΑΠΟ-Ν F ΣΥΣΤΗΜΑΤΑ
• ΔΙΑΚΡΙΤΕΣ ΚΑΤΑΝΟΜΕΣ ΤΑΞΕΩΣ Κ
• ΔΙΩΝΥΜΙΚΗ ΚΑΤΑΝΟΜΗ ΤΑΞΕΩΣ Κ
• Κ-ΡΟΕΣ ΕΠΙΤΥΧΙΩΝ
• ΜΕΓΙΣΤΟ ΜΗΚΟΣ ΡΟΗΣ ΕΠΙΤΥΧΙΩΝ
• ΠΟΛΥΩΝΥΜΑ-ΤΥΠΟΥ FIBONACCI ΤΑΞΕΩΣ Κ
• ΣΥΝΕΧΟΜΕΝΑ Κ-ΑΠΟ-N FΣΥΣΤΗΜΑΤΑ
• BINOMIAL DISTRIBUTION OF ORDER K
• CONSECUTIVE-K-OUT-OF-N F SYSTEMS
• DISCRETE DISTRIBUTIONS OF ORDER K
• FIBONACCI-TYPE POLYNOMIALS OF ORDER K
• K-SUCCESS RUNS
• LONGESTSUCCESS RUN
• RELIABILITY OF CONSECUTIVE-K-OUT-OF N F SYSTEMS
• STRICT-CONSECUTIVE-K-OUT-OF N F SYSTEMS
• Φυσικές Επιστήμες
• Μαθηματικά
• Natural Sciences
• Mathematics

Language dc:language

gre

Identifier

10.12681/eadd/1157

OAI identifier oai:identifier

oai:10442/1157