In praise (and search) of J. V. Uspensky

DOI10.1214/22-STS866MaRDI QIDQ2684695

Persi Diaconis, Sandy L. Zabell

Publication date: 16 February 2023

Published in: Statistical Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.13417

zbMATH Keywords

probability theorycard shufflingBernoulli's theoremRussian mathematicsA. A. MarkovJ. V. UspenskyLexis ratioMarkov's method of continued fractionsStanford mathematics department

Mathematics Subject Classification ID

Statistics (62-XX)

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Saint Petersburg school of the theory of linear groups. I: Prehistory

Cites Work

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• A tricentenary history of the law of large numbers
• Mathematics and politics in the Soviet Union from 1928 to 1953
• A conversation with S.R.S. Varadhan
• The mathematics of perfect shuffles
• Géza Freud, orthogonal polynomials and Christoffel functions. A case study
• On a relationship between Uspensky's theorem and Poisson approximations
• The incomplete beta function - a historical profile
• Half a century with probability theory: Some personal recollections
• Über die Klassenanzahl positiver binärer quadratischer Formen
• Closed form summation for classical distributions: variations on a theme of de Moivre
• Bounds on gambler's ruin probabilities in terms of moments
• History of Leningrad mathematics in the first half of the 20th century
• New bounds for the Descartes method
• Probability in 1919/20: the von Mises-Pólya-controversy
• A note on absorption probabilities in one-dimensional random walk via complex-valued martingales
• La formula di approssimazione asintotica dei polinomi di Tchebychef- Laguerre col procedimento di J. V. Uspensky
• Note on Vincent's theorem
• Breaking Teleprinter Ciphers at Bletchley Park
• Some Approximations to the Binomial Distribution Function
• Probability Inequalities for the Sum of Independent Random Variables
• The Doctrine of Chances
• On Student's 1908 Article “The Probable Error of a Mean”
• Ivan Matveevich Vinogradov
• Some Inequalities for Continued Fractions
• On Littlewood's estimate for the binomial distribution
• Ivan Matveevich Vinogradov (on his ninetieth birthday)
• Sharpening Buffon's Needle
• Spectra of Numbers
• On the Tchebychef Inequality of Bernstein
• Will the real Hardy-Ramanujan formula please stand up?
• Continued Fractions of Tails of Hypergeometric Series
• A discrete Fourier kernel and Fraenkel's tiling conjecture
• A Note on Quantiles in Large Samples
• A Normal Approximation for Binomial, F, Beta, and Other Common, Related Tail Probabilities, I
• The Simple Continued Fraction Expansion of e
• On A Theorem of Uspensky
• On Certain Fundamental Identities Due to Uspensky
• Hans Frederik Blichfeldt, 1873-1945
• The $\chi^2$ Test of Goodness of Fit
• On Optimal Systems
• Magical Mathematics