<oai_dc:dc xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
        <dc:relation>http://eprints.zu.edu.ua/13248/</dc:relation>
        <dc:title>T-Convolution and its applications to n-dimensional distributions</dc:title>
        <dc:creator>Pogoruі, А. А.</dc:creator>
        <dc:creator>Kovalenкo, D. О.</dc:creator>
        <dc:creator>Rodríguez-Dagnіno, Ramón М.</dc:creator>
        <dc:subject>Mathematical Analysis</dc:subject>
        <dc:description>In this paper we introduce the notion of T-convolution, which is a generalization of&#13;
convolution to higher dimensions. By using T-convolution we construct n-dimensional distributions&#13;
having n+1 axes of symmetry. In addition, we can generalize well-known symmetric&#13;
probability distributions in one dimension to higher dimensions. In particular, we consider&#13;
generalizations of Laplace and triangle continuous distributions and we show their plots in the&#13;
two-dimensional case. As an example of discrete distributions, we study the T-convolution of&#13;
Poisson distributions in the plane.</dc:description>
        <dc:publisher>ROSE</dc:publisher>
        <dc:date>2009</dc:date>
        <dc:type>Article</dc:type>
        <dc:type>PeerReviewed</dc:type>
        <dc:format>text</dc:format>
        <dc:language>uk</dc:language>
        <dc:identifier>http://eprints.zu.edu.ua/13248/1/rose.17.4.020.pdf</dc:identifier>
        <dc:identifier>  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.      </dc:identifier>
        <dc:language>english</dc:language></oai_dc:dc>