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Cauchy-Stieltjes kernels families and free multiplicative convolution
Abdelhamid Hassairi, Raouf Fakhfakh
In this paper, we determine the effect of the free multiplicative convolution on the pseudo-variance function of a Cauchy-Stieltjes kernel family. We then use the machinery of vari…
math.PR2012
On Cauchy-Stieltjes Kernel Families
Wlodek Bryc, Raouf Fakhfakh, Abdelhamid Hassairi
We explore properties of Cauchy-Stieltjes families that have no counterpart in exponential families. We relate the variance function of the iterated Cauchy-Stieltjes family to the…