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On the Berry-Esseen bound for Student's statistic

Part of the Lecture Notes in Mathematics book series (LNM,volume 1155)

Keywords

  • Asymptotic Expansion
  • Standard Normal Distribution
  • Scientific Research Institute
  • Partial Density
  • Normal Distribution Function

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References

  1. Chung K.L. The approximate distribution of Student's statistic.-Ann. Math.Statist., 1946, v. 17, N 4, p.447–465.

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  2. Schaefer M. Das Asymptotische Verhalten des t-Tests under algemeinen Alternativen.-Math. Operationsforsch. u. Statist., 1975, Bd.6, Heft.5, S. 775–785.

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  3. Chibisov D.M. Asymptotic expansions in hypotheses testing problems. I (in Russian).-Izvestiya Akad. Nauk Usbek.SSR, Ser. physiko-matemat. nauk, 1982, N 5, p.18–26.

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  4. Chibisov D.M. Asymptotic expansion for the distribution of statistics admitting asymptotic expansions. I. (in Russian).-Teor. veroyatn. i primen., 1980, v.25, N 4, p.745–756.

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  5. Chibisov D.M. Asymptotic expansion for the distribution of statistics admitting asymptotic expansions. II (in Russian).-Teor. veroyatn i primen., 1981, v.26, N 1, p.3–14.

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  6. Chibisov D.M. Asymptotic expansions for partial moments (in Russian)-Teor. veroyatn. i primen., 1979, v.24, N 3, p.449–462.

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  7. Chibisov D.M. Asymptotic behaviour of partial densities and their derivatives (in Russian).-Teor. veroyatn. i primen., 1980, v.25, N 1, p.3–17.

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© 1985 Springer-Verlag

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Slavova, V.V. (1985). On the Berry-Esseen bound for Student's statistic. In: Kalashnikov, V.V., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1155. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074828

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  • DOI: https://doi.org/10.1007/BFb0074828

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15985-8

  • Online ISBN: 978-3-540-39686-4

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