Pogorui, A. A., Kovalenкo, D. О., Rodríguez-Dagnіno, Ramón М.
(2009)
T-Convolution and its applications to n-dimensional distributions.
Stochastic Eqs (17).
pp. 349-363.
Abstract
In this paper we introduce the notion of T-convolution, which is a generalization of
convolution to higher dimensions. By using T-convolution we construct n-dimensional distributions
having n+1 axes of symmetry. In addition, we can generalize well-known symmetric
probability distributions in one dimension to higher dimensions. In particular, we consider
generalizations of Laplace and triangle continuous distributions and we show their plots in the
two-dimensional case. As an example of discrete distributions, we study the T-convolution of
Poisson distributions in the plane.
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