eprintid: 13248
rev_number: 14
eprint_status: archive
userid: 3588
dir: disk0/00/01/32/48
datestamp: 2014-10-21 09:12:39
lastmod: 2015-08-15 09:11:29
status_changed: 2014-10-21 09:12:39
type: article
metadata_visibility: show
title: T-Convolution and its applications to n-dimensional distributions
language: english
abstract: 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.
creators_name: Pogoruі, А. А.
creators_name: Kovalenкo, D. О.
creators_name: Rodríguez-Dagnіno, Ramón М.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2009
date_type: published
publication: Stochastic Eqs
number: 17
publisher: ROSE
pagerange: 349-363
refereed: TRUE
citation:   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.      
document_url: http://eprints.zu.edu.ua/13248/1/rose.17.4.020.pdf