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article
show
T-Convolution and its applications to n-dimensional distributions
english
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.
-
Pogoruі
А. А.
-
Kovalenкo
D. О.
-
Rodríguez-Dagnіno
Ramón М.
pub
- QA77
- sch_man
public
2009
published
Stochastic Eqs
17
ROSE
349-363
TRUE