17 citations · 17 across the 2 of their papers we have counts for
3 papers
math.PR2020
Variance function of boolean additive convolution
Raouf Fakhfakh
Suppose Vν is the pseudo-variance function of the Cauchy-Stieltjes Kernel (CSK) family K+(ν) generated by a non degenerate probability measure ν with support bounded from above. We…
math.PR2017★ 17 cited
Cauchy-Stieltjes families with polynomial variance functions and generalized orthogonality
Wlodzimierz Bryc, Raouf Fakhfakh, Wojciech Mlotkowski
This paper studies variance functions of Cauchy-Stieltjes Kernel families generated by compactly supported centered probability measures. We describe several operations that allow…
math.PR2017
Characterization of quadratic Cauchy-Stieltjes Kernel families by orthogonality of polynomials
Raouf Fakhfakh
In this paper we specify some facts about the sequence of polynomials associated to a \CSK family and we prove that quadratic variance function is characterized by the property of…