81 citations · 137 across the 20 of their papers we have counts for
Showing 2009Show all
3 papers · 1 filter
math.PR2009★ 1 cited
On the density of the sum of two independent Student t-random vectors
C. Berg, C. Vignat
In this paper, we find an expression for the density of the sum of two independent dimensional Student random vectors and with arbitrary degrees o…
math.CA2009★ 1 cited
Cariñena polynomials are Jacobi polynomials
C. Vignat, P. W. Lamberti
We show that the Cariñena orthogonal polynomials are Jacobi polynomials; moreover, there exists a natural bijection between the negative and the positive curvature cases. These res…
cond-mat.stat-mech2009★ 8 cited
Geometry of the Central Limit Theorem in the Nonextensive Case
C. Vignat, A. Plastino
We uncover geometric aspects that underlie the sum of two independent stochastic variables when both are governed by q-Gaussian probability distributions. The pertinent discussion…