On probabilistic aspects of Chebyshev polynomials

DOI10.1016/j.spl.2018.08.017zbMath1412.62063arXiv1508.04450OpenAlexW2258258838WikidataQ129325963 ScholiaQ129325963MaRDI QIDQ1726788

Paweł Jerzy Szabłowski

Publication date: 20 February 2019

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

Full work available at URL: https://arxiv.org/abs/1508.04450

zbMATH Keywords

Chebyshev polynomialsFourier seriessymmetric polynomialssymmetric rational functionsfamilies of conditional densitiesLancaster type expansionsnew multivariate distribution

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Probability distributions: general theory (60E05) Best approximation, Chebyshev systems (41A50) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (1)

Multivariate generating functions built from Chebyshev polynomials and some of their applications and generalizations

Cites Work

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• On the structure and probabilistic interpretation of Askey-Wilson densities and polynomials with complex parameters
• Expansions of one density via polynomials orthogonal with respect to the other
• The Structure of Bivariate Distributions
• Poisson-Mehler summation formula Around Poisson-Mehler summation formula
• Correlations and Canonical Forms of Bivariate Distributions
• Correlation and Complete Dependence of Random Variables

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