ΠΟΛΥΔΙΑΣΤΑΤΕΣ ΚΑΤΑΝΟΜΕΣ Κ-ΤΑΞΗΣ

WE DERIVE A MULTIVARIATE NEGATIVE BINOMIAL DISTRIBUTION OF ORDER K BY MEANS OF AN URN SCHEME AND WE OBTAIN TWO LIMITING CASES OF IT WHICH PROVIDE A MULTIVARIATE POISSON DISTRIBUTION OF ORDER K AND A MULTIVARIATE LOGARITHMIC SERIES DISTRIBUTION OF THE SAME ORDER. WE DEFINE THE GENERALIZED SEQUENCE OF ORDER K, AS AN EXTENSION OF INDEPENDENT TRIALS WITH MULTIPLE OUTCOMES, AND BY EMPLOYING THIS SEQUENCE WE DERIVE ANALOGUES MULTIVARIATE EXTENDED DISTRIBUTIONS OF ORDER K. SPECIAL CASES OF THE MULTIVARIATE DISTRIBUTIONS OF ORDER K ARE THE MULTIVARIATE DISTRIBUTIONS OF THE SAME ORDER TYPE-I AND TYPE-II, WHICH ARE ALSO DEFINED. PROBABILITY GENERATING FUNCTIONS, MEANS VARIANCES, COVARIANCES, FURTHER GENESIS SCHEMES, INTERRELATIONSHIPS AND RECURRENCE RELATIONS AND BINOMIAL EXPRESSIONS FOR CALCULATING THE PROBABILITIES OF THE ABOVE DISTRIBUTIONS ARE ALSO GIVEN.

Grantor dc:publisher

Πανεπιστήμιο Πατρών

Year dc:date

1990

Authors dc:creator

• Antzoulakos, Demetrios
• Αντζουλάκος, Δημήτριος

• CONVOLUTIONS
• DISTRIBUTIONS TYPE II
• DISTRIBUTIONS TYPEI
• EXTENDED DISTRIBUTIONS
• MULTIPARAMETER DISTRIBUTIONS
• Multivariate distributions of order k
• MULTIVARIATE FIBONACCI POLYNOMIAS OF ORDER K
• PROPERTIES
• ΕΚΤΕΤΑΜΕΝΕΣ ΚΑΤΑΝΟΜΕΣ
• ΙΔΙΟΤΗΤΕΣ
• ΚΑΤΑΝΟΜΕΣ ΤΥΠΟΥ Ι
• ΚΑΤΑΝΟΜΕΣ ΤΥΠΟΥ ΙΙ
• Πολυδιάστατες κατανομές τάξεως k
• ΠΟΛΥΜΕΤΑΒΛΗΤΑ ΠΟΛΥΩΝΥΜΑ FIBONACCI Κ-ΤΑΞΗΣ
• ΠΟΛΥΠΑΡΑΜΕΤΡΙΚΕΣ ΚΑΤΑΝΟΜΕΣ
• ΣΥΝΕΛΙΞΕΙΣ
• Φυσικές Επιστήμες
• Natural Sciences
• Μαθηματικά
• Mathematics

Language dc:language

gre

Identifier

10.12681/eadd/1462

OAI identifier oai:identifier

oai:10442/1462