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Asymptotic behaviour of d-variate absorption distributions, d = 1, 2

Asymptotic behaviour of d-variate absorption distributions, d = 1, 2 AbstractIn this work we study the asymptotic behavior of univariate and bivariate absorption discrete q-distributions. Specifically, the pointwise convergence of the univariate absorption distribution to a deformed Gaussian one and that of the bivariate absorption to a bivariate deformed Gaussian one, are provided. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Pure Mathematics and Applications de Gruyter

Asymptotic behaviour of d-variate absorption distributions, d = 1, 2

Pure Mathematics and Applications , Volume 30 (1): 8 – Jun 1, 2022

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Publisher
de Gruyter
Copyright
© 2022 Malvina Vamvakari, published by Sciendo
eISSN
1788-800X
DOI
10.2478/puma-2022-0017
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this work we study the asymptotic behavior of univariate and bivariate absorption discrete q-distributions. Specifically, the pointwise convergence of the univariate absorption distribution to a deformed Gaussian one and that of the bivariate absorption to a bivariate deformed Gaussian one, are provided.

Journal

Pure Mathematics and Applicationsde Gruyter

Published: Jun 1, 2022

Keywords: Stirling’s formula; q -factorials; pointwise convergence; discrete q -distributions; univariate absorption distribution; bivariate absorption distribution; 60C05; 05A30; 33D90

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