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The accuracy of the normal approximation to the distribution of the sum of a random number of independent random variables

Part of the Lecture Notes in Mathematics book series (LNM,volume 1233)

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References

  1. Englund G. A remainder term estimate in a random-sum central limit theorem. Teoria Veroyatnostey i ee Primen., 28 (1983), p. 143–149.

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  2. Shiganov I.S. On the sharpening of the upper constant in the remainder term of the central limit theorem. The problems of stability of stochastic models. (In Russian). Transactions of the seminar. Moscow (1982), p. 109–115.

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  3. Beek P. Van. An application of Fourier methods to the problem of sharpening the Berry-Esseen inequality.-Z. Wahrscheinlichkeitstheorie und Verw. Geb. 23 (1972), p. 187–196.

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© 1987 Springer-Verlag

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Korolev, V.Y. (1987). The accuracy of the normal approximation to the distribution of the sum of a random number of independent random variables. In: Kalashnikov, V.V., Penkov, B., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1233. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072709

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  • DOI: https://doi.org/10.1007/BFb0072709

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17204-8

  • Online ISBN: 978-3-540-47394-7

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