| Issue |
RAIRO-Theor. Inf. Appl.
Volume 58, 2024
Randomness and Combinatorics - Edited by Luca Ferrari & Paolo Massazza
|
|
|---|---|---|
| Article Number | 15 | |
| Number of page(s) | 17 | |
| DOI | https://doi.org/10.1051/ita/2024006 | |
| Published online | 03 June 2024 | |
Asymptotic Behaviour of Univariate and Multivariate Absorption Distributions
Harokopion University of Athens, Department of Informatics and Telematics, Athens, Greece
* Corresponding author: mvamv@hua.gr
Received:
9
December
2022
Accepted:
23
February
2024
In this work we study the asymptotic behaviour of univariate, bivariate and multivariate absorption discrete q-distributions. Specifically, the pointwise convergence of the univariate absorption distribution to a deformed Gaussian distribution is established. Also, the pointwise convergence of the bivariate and multivariate absorption distributions to bivariate and multivariate deformed Gaussian ones respectively, are established Moreover, interesting applications of the asymptotic behaviour of univariate and multivariate absorption processes are presented.
Mathematics Subject Classification: 60C05 / 05A30
Key words: q-Stirling’s formula / q-factorials / pointwise convergence / univariate and multivariate discrete q-distributions / univariate absorption distribution / bivariate absorption distribution / multivariate absorption distribution / univariate absorption process / multivariate absorption process
© The authors. Published by EDP Sciences, 2024
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