We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
T-Convolution and its applications to n-dimensional distributions.
- Authors
Pogorui, A. A.; Kovalenko, D. O.; Rodríguez-Dagnino, Ramón M.
- 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.
- Subjects
MATHEMATICAL convolutions; PROBABILITY theory; DISTRIBUTION (Probability theory); MATHEMATICAL functions; INTEGRALS
- Publication
Random Operators & Stochastic Equations, 2009, Vol 17, Issue 4, p343
- ISSN
0926-6364
- Publication type
Article
- DOI
10.1515/ROSE.2009.020