Запис Детальніше

T-Convolution and its applications to n-dimensional distributions

Zhytomyr State University Library

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