Zhytomyr State University LibraryT-Convolution and its applications to n-dimensional distributionsА. А.PogoruіauthorD. О.KovalenкoauthorRamón М.Rodríguez-DagnіnoauthorIn 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.Mathematical Analysis2009ROSEArticle

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