The Life, Work, and Legacy of P. L. Chebyshev

DOI10.1137/S0040585X97T990587zbMath1492.01012arXiv2111.12551OpenAlexW4213342932MaRDI QIDQ5034415

Nicholas H. Bingham

Publication date: 25 February 2022

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.12551

zbMATH Keywords

moment problemChebyshev polynomialslaw of large numberscentral limit theoremBienaymé-Chebyshev inequalitydistribution of prime numbersChebyshev alternant

Mathematics Subject Classification ID

History of mathematics in the 19th century (01A55) History of probability theory (60-03)

Related Items (1)

Solarity and proximinality in generalized rational approximation in spaces \(C(Q)\) and \(L^p\)

Cites Work

• Markov chains and stochastic stability
• P. L. Chebyshev (1821-1894) and his contacts with Western European scientists
• Non-negative matrices and Markov chains. 2nd ed
• A. A. Markov's work on probability
• The early history of the moment problem
• The classical moment problem as a self-adjoint finite difference operator
• P. L. Chebyshev (1821-1894). A guide to his life and work
• Chebyshev's lectures on the theory of probability
• Stochastic processes and orthogonal polynomials
• M. G. Krein's investigations in the theory of entire and meromorphic functions and their further development
• Szegő's theorem and its probabilistic descendants
• Multivariate prediction and matrix Szegő theory
• Non-homogeneous Random Walks
• A MULTIVARIATE GENERALIZATION OF TCHEBICHEV'S INEQUALITY
• The ideas of P. L. Čebyšev and A. A. Markov in the theory of limiting values of integrals and their further development
• The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
• Multivariate determinates
• Markov and the Birth of Chain Dependence Theory
• Aspects of prediction
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