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Part of the book series: Mathematics and Its Applications (Soviet Series) ((MASS,volume 26))

Abstract

Let E 1, E 2,…, E n , … be a sequence of independent trials. The reasoning given below is true only for a finite number of distinct possible outcomes of the trial E k . However, the theorem to be proved holds also in the general case.

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’sur la loi des grands nombres’, C. R. Acad. Sci. Paris 185 (1927), 917-919. Presented by E. Borel.

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A. N. Shiryayev

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© 1992 Springer Science+Business Media Dordrecht

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Shiryayev, A.N. (1992). On The Law of Large Numbers. In: Shiryayev, A.N. (eds) Selected Works of A. N. Kolmogorov. Mathematics and Its Applications (Soviet Series), vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2260-3_2

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  • DOI: https://doi.org/10.1007/978-94-011-2260-3_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5003-6

  • Online ISBN: 978-94-011-2260-3

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