Moments of \(q\)-normal and conditional \(q\)-normal distributions

DOI10.1016/J.SPL.2015.06.027zbMath1463.62020arXiv1506.07970OpenAlexW843405798MaRDI QIDQ900532

Paweł Jerzy Szabłowski

Publication date: 22 December 2015

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07970

zbMATH Keywords

moment generating functionWigner\(q\)-normalconditional \(q\)-normalexpansions in modified Bessel functionsKesten-McKay distributions

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Characterization and structure theory of statistical distributions (62E10) Probabilistic measure theory (60A10) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (7)

Yet another way of calculating moments of the Kesten's distribution and its consequences for Catalan numbers and Catalan triangles ⋮ Asymmetric simple exclusion process with open boundaries and quadratic harnesses ⋮ On the generalized Kesten–McKay distributions ⋮ A note on the moments of the Kesten distribution ⋮ Statistical nuclear spectroscopy with \(q\)-normal and bivariate \(q\)-normal distributions and \(q\)-Hermite polynomials ⋮ Bivariate q -normal distribution for transition matrix elements in quantum many-body systems ⋮ Wavefunction structure in quantum many-fermion systems with k-body interactions: conditional q-normal form of strength functions

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