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Jakob Bernoulli

b. 6 January 1655 d. 16 August 1705

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Statisticians of the Centuries

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Abstract

Jakob Bernoulli, together with his brother Johann one of the pioneers of the Leibnizian form of the calculus, transformed Huygens’ calculus of expectations to make probability its main concept. He formulated and proved the weak law of large numbers, the cornerstone of modern probability and statistics.

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Bibliography

  • Hald, Anders (1990). A History of Probability and Statistics and Their Applications Before 1750. Wiley, New York, Chapters 15 and 16.

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  • Schneider, Ivo (1981). Why do we find the origin of a calculus of probabilities in the seventeenth century? In: Probabilistic Thinking, Thermodynamics, and the Interaction of the History and Philosophy of Science. (Eds. J. Hintikka, D. Gruender and E. Agazzi) Vol. II, Reidel, Dordrecht (= Synthese Library, Bd. 146), pp. 3–24.

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  • Schneider, Ivo (1981). Leibniz on the Probable. In: Mathematical Perspectives, Essays on Mathematics and its Historical Development. (Ed. Joseph W. Dauben), Academic Press, New York, pp. 201–219.

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  • Schneider, Ivo (1984). The role of Leibniz and of Jakob Bernoulli for the development of probability theory. LLULL, Boletin de la Sociedad Española de Historia de las Ciencias, 7, 68–89.

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  • Die Werke von Jakob Bernoulli, vol. III. (Ed. by the Naturforschende Gesellschaft in Basel), Birkhäuser Verlag, Basel 1975.

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Authors
  1. Ivo Schneider
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Editor information

Editors and Affiliations

  1. School of Mathematical Sciences, Australian National University, Canberra, ACT, 0200, Australia

    C. C. Heyde

  2. Department of Statistics, Columbia University, New York, NY, 10027, USA

    C. C. Heyde

  3. School of Mathematics and Statistics, University of Sydney, Sydney, NSW, 2006, Australia

    E. Seneta

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© 2001 Springer Science+Business Media New York

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Schneider, I. (2001). Jakob Bernoulli. 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_7

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  • DOI: https://doi.org/10.1007/978-1-4613-0179-0_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-95283-3

  • Online ISBN: 978-1-4613-0179-0

  • eBook Packages: Springer Book Archive

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