On the generalized Kesten–McKay distributions
DOI10.1051/ps/2019029zbMath1447.60043arXiv1507.03191OpenAlexW3006716087MaRDI QIDQ5110209
Publication date: 18 May 2020
Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.03191
momentsChebyshev polynomialsorthogonal polynomialsmultivariate distributionsAskey-Wilson polynomialssymmetric rational functionsBernstein-Szegö distributionsCauchy (Hilbert) transformKesten-McKay
Characterization and structure theory for multivariate probability distributions; copulas (62H05) Probability distributions: general theory (60E05) Symmetric functions and generalizations (05E05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)
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Cites Work
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- Askey-Wilson integral and its generalizations
- Expansions of one density via polynomials orthogonal with respect to the other
- On a two-variable class of Bernstein-Szegő measures
- Moments of \(q\)-normal and conditional \(q\)-normal distributions
- The expected eigenvalue distribution of a large regular graph
- \(q\)-Gaussian processes: Non-commutative and classical aspects
- On affinity relating two positive measures and the connection coefficients between polynomials orthogonalized by these measures
- Probabilistic aspects of Al-Salam–Chihara polynomials
- Befriending Askey–Wilson polynomials
- Symmetric Random Walks on Groups
- Random matrices, nonbacktracking walks, and orthogonal polynomials
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- Trace formulas and spectral statistics for discrete Laplacians on regular graphs (II)
- Trace formulae and spectral statistics for discrete Laplacians on regular graphs (I)
- $q$-Wiener and $(\alpha,q)$-Ornstein--Uhlenbeck Processes. A Generalization of Known Processes
- On q-Hermite polynomials and their relationship with some other families of orthogonal polynomials