http://eprints.zu.edu.ua/id/eprint/13248 2015-08-15T09:11:29Z info:eu-repo/semantics/descriptiveMetadata http://eprints.zu.edu.ua/13248/ T-Convolution and its applications to n-dimensional distributions Pogoruі, А. А. Kovalenкo, D. О. Rodríguez-Dagnіno, Ramón М. Mathematical Analysis 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. ROSE 2009 Article PeerReviewed text uk http://eprints.zu.edu.ua/13248/1/rose.17.4.020.pdf Pogoruі, А. А. and Kovalenкo, D. О. and Rodríguez-Dagnіno, Ramón М. (2009) T-Convolution and its applications to n-dimensional distributions. Stochastic Eqs (17). pp. 349-363. english info:eu-repo/semantics/objectFile info:eu-repo/semantics/humanStartPage