Pogoruі, А. А. and Kovalenкo, D. О. and RodríguezDagnіno, Ramón М.
(2009)
TConvolution and its applications to ndimensional distributions.
Stochastic Eqs (17).
pp. 349363.
Abstract
In this paper we introduce the notion of Tconvolution, which is a generalization of
convolution to higher dimensions. By using Tconvolution we construct ndimensional distributions
having n+1 axes of symmetry. In addition, we can generalize wellknown 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
twodimensional case. As an example of discrete distributions, we study the Tconvolution of
Poisson distributions in the plane.
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