Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Raouf Fakhfakh"'
Publikováno v:
Symmetry, Vol 16, Iss 10, p 1365 (2024)
Several authors are interested in the study of limiting distributions for large symmetrical random matrices. Our approach of studying limiting distributions is different and is related to the new concept of variance functions of Cauchy–Stieltjes Ke
Externí odkaz:
https://doaj.org/article/bc6c1c6721794d54a3b3c590615b7bbf
Publikováno v:
Symmetry, Vol 16, Iss 10, p 1362 (2024)
Symmetrical fractional differential equations have been explored through a variety of methods in recent years. In this paper, we analyze the existence and uniqueness of a class of pantograph integro-fractional stochastic differential equations (PIFSD
Externí odkaz:
https://doaj.org/article/c8f24d11408e4c3ab97a42f7891006c4
Publikováno v:
Axioms, Vol 13, Iss 8, p 496 (2024)
Let K+(μi)={Qsiμi,si∈(m0μi,m+μi)}, i=1,2, be two CSK families generated by the nondegenerate probability measures μ1 and μ2 with support bounded from above. Define the set of measures L=K+(μ1)•K+(μ2)={Qs1μ1•Qs2μ2,s1∈(m0μ1,m+μ1)and
Externí odkaz:
https://doaj.org/article/0abd9f1e4314438a9aa4da87dc498052
Publikováno v:
Mathematics, Vol 12, Iss 13, p 2060 (2024)
In free probability, the theory of Cauchy–Stieltjes Kernel (CSK) families has recently been introduced. This theory is about a set of probability measures defined using the Cauchy kernel similarly to natural exponential families in classical probab
Externí odkaz:
https://doaj.org/article/58dd594c8bfd4e93ba8e0798283806f6
Publikováno v:
Axioms, Vol 13, Iss 3, p 173 (2024)
In this article, we provide some new limiting laws related to the free multiplicative law of large numbers and involving free and Boolean additive convolutions. Some examples of these limiting laws are presented within the framework of non-commutativ
Externí odkaz:
https://doaj.org/article/b7c91aed8ba3465d9f3f2b04be2f3fe6
Publikováno v:
Symmetry, Vol 16, Iss 3, p 372 (2024)
A notion of generalized (two-parameterized) t-transformation of free convolution, also called (t=(a,b))-deformed free convolution, is introduced for a∈R and b>0. In this article, some results of t-deformed free convolution are given within the theo
Externí odkaz:
https://doaj.org/article/99bfe79e253d4df3a91d557492fc2fbc
Autor:
Raouf Fakhfakh
Publikováno v:
Filomat. 36:869-880
In this paper we present two different results in the theory of Cauchy-Stieltjes Kernel (CSK) families. We firstly provide the construction of free Sheffer systems with the theory of CSK families. We associate a free additive convolution semigroup of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aecc6d0296352bc5d63f8dd80772e633
https://doi.org/10.2298/fil2203869f
https://doi.org/10.2298/fil2203869f
Autor:
Raouf Fakhfakh, Abdelhamid Hassairi
Publikováno v:
Communications in Mathematics and Statistics.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::68ad2fe00809085f08c7bcabf3cb1e2f
https://doi.org/10.1007/s40304-022-00311-9
https://doi.org/10.1007/s40304-022-00311-9
Autor:
Raouf Fakhfakh
Publikováno v:
Communications in Statistics - Theory and Methods. 52:2031-2042
Suppose Vν is the pseudo-variance function of the Cauchy–Stieltjes Kernel family K−(ν) generated by a non degenerate probability measure ν on the positive real line. We determine explicitly the law...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a46a8443607586828ffa17abcf765fc
https://doi.org/10.1080/03610926.2021.1944212
https://doi.org/10.1080/03610926.2021.1944212
Autor:
Raouf Fakhfakh
Publikováno v:
Indian Journal of Pure and Applied Mathematics. 52:1186-1200
We explore properties of Cauchy-Stieltjes Kernel (CSK) families that have the same counterpart in natural exponential families (NEFs). We determine the variance function of the finite mixtures of a CSK family with its length-biased family. We also pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d5e3becc2c27343287b81793ba4e5ecc
https://doi.org/10.1007/s13226-021-00020-z
https://doi.org/10.1007/s13226-021-00020-z