ΜΟΝΟΔΙΑΣΤΑΤΕΣ ΚΑΙ ΠΟΛΥΔΙΑΣΤΑΤΕΣ ΚΑΤΑΝΟΜΕΣ POLYA ΚΑΙ ΑΝΑΣΤΡΟΦΗ POLYA ΤΑΞΕΩΣ Κ

IN THIS PH.D. DISSERTATION WE DERIVE AND STUDY NEW UNIVARIATE AND MULTIVARIATE DISCRETE DISTIBUTIONS OF ORDER K. WE INTRODUCE THE FOLLOWING DISTRIBUTIONS OF ORDER K, TYPE II: HYPERGEOMETRIC, NEGATIVE HYPERGEOMETRIC, INVERSE HYPERGEOMETRIC, INVERSE NEGATIVE HYPERGEOMETRIC, POLYA, INVERSE POLYA AND UNIFORM DISTRIBUTION OF ORDER K ON THE INTEGERS 1,....,K. WE DERIVE THE MOMENT GENERATING FUNCTIONS, MEANS AND VARIANCES OF THESE DISTRIBUTIONS, WE ESTABLISH SEVERAL ASYMPTOTICRELATIONSHIPS OF THEM AND WE OBTAIN THE MOMENT ESTIMATORS OF THEIR PARAMETERS.GENERALIZING THESE DISTRIBUTIONS TO THE MULTIVARIATE CASE, WE DERIVE AND STUDYTHE FOLLOWING MULTIVARIATE DISTRIBUTIONS OF ORDER K, HYPERGEOMETRIC, NEGATIVE HYPERGEOMETRIC, INVERSE HYPERGEOMETRIC, INVERSE NEGATIVE HYPERGEOMETRIC, POLYA,INVERSE POLYA AND BOSE-EINSTEIN. WE ALSO INTRODUCE AND STUDY A UNIFIED MULTIVARIATE DISTRIBUTION OF ORDER K, WHICH INCLUDES ALL THE ABOVE MENTIONED DISTRIBUTIONS.

Grantor dc:publisher

Πανεπιστήμιο Πατρών

Year dc:date

1991

Author dc:creator

• Τρυψιάννης, Γρηγόριος

• HYPERGEOMETRIC
• INVERSE HYPERGEOMETRIC
• INVERSE POLYA
• NEGATIVE HYPERGEOMETRIC
• NEGATIVE INVERSE HYPERGEOMETRIC
• POLYA
• UNIFIED HYPERGEOMETRIC DISTRIBUTION OF ORDER K
• UNIFORM DISTRIBUTION ON THE INTEGERS 1,...,K
• ΑΝΑΣΤΡΟΦΗ POLYA
• ΑΝΑΣΤΡΟΦΗ ΥΠΕΡΓΕΩΜΕΤΡΙΚΗ
• ΑΡΝΗΤΙΚΗ ΑΝΑΣΤΡΟΦΗ ΥΠΕΡΓΕΩΜΕΤΡΙΚΗ
• ΑΡΝΗΤΙΚΗ ΥΠΕΡΓΕΩΜΕΤΡΙΚΗ
• ΕΝΟΠΟΙΗΜΕΝΗ ΥΠΕΡΓΕΩΜΕΤΡΙΚΗ ΚΑΤΑΝΟΜΗ ΤΑΞΕΩΣ Κ
• ΚΑΤΑΝΟΜΕΣ ΤΑΞΕΩΣ Κ-ΜΟΝΟΔΙΑΣΤΑΤΕΣ & ΠΟΛΥΔΙΑΣΤΑΤΕΣ ΥΠΕΡΓΕΩΜΕΤΡΙΚΗ
• ΟΜΟΙΟΜΟΡΦΗ ΚΑΤΑΝΟΜΗ ΕΠΙ ΤΩΝ ΑΚΕΡΑΙΩΝ 1,...,Κ
• Φυσικές Επιστήμες
• Natural Sciences
• Μαθηματικά
• Mathematics

Language dc:language

gre

Identifier

10.12681/eadd/1601

OAI identifier oai:identifier

oai:10442/1601