A one-parameter family of transforms, linearizing convolution laws for probability distributions

DOI10.1007/BF02099588zbMath0818.60096MaRDI QIDQ1842618

Alexandru Nica

Publication date: 17 August 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

basic properties of the convolution lawscontinued \(J\)-fractions as power seriesHermite orthogonal polynomialsinterpolated convolution

Mathematics Subject Classification ID

Other physical applications of random processes (60K40)

Related Items

LIMIT THEOREMS IN Λ-BOOLEAN PROBABILITY ⋮ The law of large numbers for free identically distributed random variables ⋮ Crossings and embracings of set-partitions and \(q\)-analogues of the logarithm of the Fourier transform ⋮ Cumulants, spreadability and the Campbell-Baker-Hausdorff series ⋮ Cumulants, lattice paths, and orthogonal polynomials ⋮ Explicit forms of \(q\) -deformed Lévy-Meixner polynomials and their generating functions ⋮ THE NUMBER OF PURE CONVOLUTIONS ARISING FROM CONDITIONALLY FREE CONVOLUTION ⋮ CUMULANTS IN NONCOMMUTATIVE PROBABILITY THEORY III: CREATION AND ANNIHILATION OPERATORS ON FOCK SPACES ⋮ q -deformed Poisson random variables on q-Fock space ⋮ Regularizing mappings of Lévy measures ⋮ On a class of free Lévy laws related to a regression problem ⋮ ON A CONVOLUTION FOR q-NORMAL ELEMENTS ⋮ Nica's \(q\)-convolution is not positivity preserving ⋮ Free stochastic measures via noncrossing partitions ⋮ Free cumulants and enumeration of connected partitions

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