On a class of free Lévy laws related to a regression problem

On a class of free Lévy laws related to a regression problem (2005)

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by Marek Bozejko, et al.

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@MISC{Bozejko05ona,
    author = {Marek Bozejko and et al.},
    title = {On a class of free Lévy laws related to a regression problem},
    year = {2005}
}

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Citations

424	An introduction to orthogonal polynomials - Chihara - 1978
262	Free Random Variables - Voiculescu, Dykema, et al. - 1992
136	The semicircle law, free random variables, and entropy - Hiai, Petz
113	On the distribution of the roots of certain symmetric matrices, The Annals of Mathematics 67 - Wigner - 1958
104	Pastur, “Distributions of eigenvalues of some sets of random matrices - Mar�enko, A - 2012
96	Symmetric random walks on groups - Kesten - 1959
67	Conditional expectations in von Neumann algebras - Takesaki - 1972
49	q-Gaussian processes: Non-commutative and classical aspects - Bozejko, Kuemmerer, et al. - 1997
48	The expected eigenvalue distribution of a large regular graph - McKay - 1981
44	Natural Exponential Families with Quadratic Variance Functions - Morris - 1982
42	Free probability theory and non-crossing partitions’, Sém - Speicher - 1997
38	Speicher Convolution and limit theorems for conditionally free random variables, Pacific J.Math - Bo˙zejko, Leinert, et al. - 1996
38	On the multiplication of free n-tuples of noncommutative random variables - Nica, Speicher - 1996
37	Orthogonale Polynomsysteme mit einem besonderen Gestalt der erzeugenden Funktion, J.London Math.Soc 9 - Meixner - 1934
36	Processes with free increments - Biane - 1998
33	R-transforms of free joint distributions and non-crossing partitions - Nica - 1996
25	Brown’s spectral distribution measure for R-diagonal elements in finite von Neumann algebras Journ. Functional Analysis 176 - Haagerup, Larsen - 2000
25	Stochastic processes and orthogonal polynomials - Schoutens - 2000
24	Interacting Fock space and Gaussianization of probability measures. Infinite Dimensional Analysis, Quantum probability and Related Topics - Accardi, Bo˙zejko - 1998
24	Free martingale polynomials - Anshelevich - 2003
21	Stable laws and domains of attraction in free probability theory, With an appendix by Philippe Biane - Bercovici, Pata - 1999
20	Lectures on free probability theory”, Lectures on probability theory and statistics, Ecole d’Et de Probabilites de Saint-Flour - Voiculescu - 1998
16	Partition-dependent stochastic measures and q-deformed cumulants - Anshelevich - 2001
14	Lévy-Hinčin type theorems for multiplicative and additive free convolution - Bercovici, Voiculescu - 1992
14	Product of random projections, Jacobi ensembles and universality problems arising from free probability - Collins
14	On Voiculescu’s R- and S-transforms for Free non-commuting Random Variables - Haagerup
14	H.: The infinite divisibility and orthogonal polynomials with a constant recursion formula in free probability theory - Saitoh, Yoshida - 2001
14	Remarks on t-transforms of measures and convolutions - Bo˙zejko, Wysoczański
13	Asymptotic freeness by generalized moments for Gaussian and Wishart matrices. Application to beta random matrices Indiana Univ - Capitaine, Casalis
13	On a problem connected with quadratic regression - Laha, Lukacs - 1960
12	A characterization of the gamma distribution - Lukacs - 1955
12	A one-parameter family of transforms linearizing convolution laws for probability distributions - Nica - 1995
12	Stochastic processes with linear conditional expectation and quadratic conditional variance - Weso̷lowski - 1993
12	ψ-Independent and Symmetrized White Noises - Bo˙zejko, Speicher - 1991
8	Orthogonal polynomials with a resolvent-type generating function - Anshelevich - 2008
8	ψ-independent and symmetrized white noises, in Quantum probability & related topics - Bo˙zejko, Speicher - 1991
6	A characterization of the Wishart distribution - Olkin, Rubin - 1962
5	The Lukacs-Olkin-Rubin theorem without invariance of the ”quotient - Bobecka, Wesolowski - 2002
4	Classical and free infinitely divisible distributions and random matrices to apper in Annals of Probability, available on http://www.dma.ens.fr/∼benaych - Benaych-Georges
3	Cumulants in noncommutative probability theory II. Generalized Gaussian random variables, Probab. Theory Related Fields 127 - Lehner - 2003
2	Barndorff-Nielsen and Steen Thorbjørnsen. Self-decomposability and Lévy processes in free probability - Ole
2	Characterizations of some Processes by properties of Conditional Moments - Weso̷lowski - 1989
1	A matrix repersentation of the Bercovici-Pata bijection. Prepublication No 6 - Cabanal-Duvillard - 2004
1	A quantum characterization of Gaussianness - Hegerfeldt - 1992
1	The characterizations of a semicircle law by the certain freeness in a C ∗ -probability space - Hiwatashi, Nagisa, et al.
1	Private communication, 2005. 22 Gérard Letac and Hélène Massam. Quadratic and inverse regressions for Wishart distributions - Letac - 1998
1	Theory of operator algebras. I-III, volume 124 of Encyclopaedia of Mathematical Sciences - Takesaki - 2002