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A Generalization of The Laplace-Lyapunov Theorem

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Selected Works of A. N. Kolmogorov

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

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Abstract

Let x 1,x 1, … be independent random variables with expectations and suppose that the ratios d n /b n are smaller than a certain fixed constant Set

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‘Eine Verallgemeinerung des Laplace-Liapounoffschen Satzes’, Izv. Akad. Nauk SSSR, OMEN (1931), 959-962. Presented by S.N. Bernshtein.

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Notes

  1. A.M. Liapounoff, Bull. Acad. Sci. St. Petersburg 13 (1900), 359.

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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). A Generalization of The Laplace-Lyapunov Theorem. 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_12

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  • DOI: https://doi.org/10.1007/978-94-011-2260-3_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5003-6

  • Online ISBN: 978-94-011-2260-3

  • eBook Packages: Springer Book Archive

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