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Sergei Natanovich Bernstein

b. 22 February 1880 (o.s.) d. 26 October 1968

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Statisticians of the Centuries

Abstract

Bernstein’s training in and continuing contacts with Paris led him to combine analytical writing with the traditions of the St. Petersburg School in probability. Martingale differences appear in his work, and best known are his extensions of the Central Limit Theorem to weakly dependent random variables.

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Bibliography

  • Bernstein, S.N. (1964). Sobranie Sochinenii. (Collected Works, 4 vols.). Gostehizdat, Moscow-Leningrad.

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  • Bogoliubov, A.N. (1997). Serhiy Natanovych Bernshtein (1880–1968). In: Instytut Matematyky Narysy Istorii., 17, 175–189. [In Ukrainian.] Published by: Instytut Matematyky Ukr. AN, Kyiv.

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  • Kolmogorov, A.N. and Sarmanov, O.V. (1960). On the writings of S.N. Bernstein on the theory of probabilities, [in Russian]. Teoriia Veroiatnostei i ee Primeneniia, 5, 215–221.

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  • Reid, C. (1982). Neyman—From Life. Springer-Verlag, New York.

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  • Seneta, E. (1982). Bernstein, Sergei Natanovich. Encyclopedia of Statistical Sciences. (S. Kotz and N.L. Johnson, eds.). Wiley, New York 1, 221–223.

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© 2001 Springer Science+Business Media New York

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Seneta, E. (2001). Sergei Natanovich Bernstein. In: Heyde, C.C., Seneta, E., Crépel, P., Fienberg, S.E., Gani, J. (eds) Statisticians of the Centuries. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0179-0_73

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  • DOI: https://doi.org/10.1007/978-1-4613-0179-0_73

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-95283-3

  • Online ISBN: 978-1-4613-0179-0

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