Continuous Stieltjes-Wigert Limiting Behaviour of a Family of Confluent q-Chu-Vandermonde Distributions

Continuous Stieltjes-Wigert Limiting Behaviour of a Family of Confluent q-Chu-Vandermonde Distributions

From Kemp [1], we have a family of confluent q-Chu- Vandermonde distributions, consisted by three members I, II and III, interpreted as a family of q-steady-state distributions from Markov chains. In this article, we provide the moments of the distributions of this family and we establish a continuo...

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Bibliographic Details
Main Authors: Andreas Kyriakoussis, Malvina Vamvakari
Format: Article
Language:English
Published: MDPI AG 2014-04-01
Series:Axioms
Subjects:
stirling asymptotic formula
q-factorial number of order n
confluent q-Chu-Vandermonde distributions
q-factorial moments
modified q-Bessel distribution
generalized q-negative Binomial distribution
Over/Underdispersed (O/U) distribution
pointwise convergence
continuous Stieltjes-Wigert distribution
Online Access:http://www.mdpi.com/2075-1680/3/2/140

Internet

http://www.mdpi.com/2075-1680/3/2/140

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