Asymptotic Behaviour of Univariate and Multivariate Absorption Distributions

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.