A q-Analogue of the Stirling Formula and a Continuous Limiting Behaviour of the q-Binomial Distribution—Numerical Calculations

A q-Analogue of the Stirling Formula and a Continuous Limiting Behaviour of the q-Binomial Distribution—Numerical Calculations

In this article, we derive an asymptotic formula for the q -factorial number of order n using the saddle point method . This formula is a q -analogue, for 0 

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Methodology and computing in applied probability 2013-03, Vol.15 (1), p.187-213
Hauptverfasser: Kyriakoussis, Andreas George, Vamvakari, Malvina
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic methods
Asymptotic properties
Binomial distribution
Business and Management
Computer programs
Constraining
Convergence
Economics
Electrical Engineering
Factorials
Life Sciences
Mathematical analysis
Mathematical models
Mathematics and Statistics
Saddle points
Statistics
Studies
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this article, we derive an asymptotic formula for the q -factorial number of order n using the saddle point method . This formula is a q -analogue, for 0 
ISSN:1387-5841
1573-7713
DOI:10.1007/s11009-011-9231-1