T-Convolution and its applications to n-dimensional distributions
Zhytomyr State University Library
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Relation |
http://eprints.zu.edu.ua/13248/
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Title |
T-Convolution and its applications to n-dimensional distributions
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Creator |
Pogoruі, А. А.
Kovalenкo, D. О. Rodríguez-Dagnіno, Ramón М. |
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Subject |
Mathematical Analysis
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Description |
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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Publisher |
ROSE
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Date |
2009
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Type |
Article
PeerReviewed |
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Format |
text
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Language |
uk
english |
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Identifier |
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. |
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