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On some stability theorems

Part of the Lecture Notes in Mathematics book series (LNM,volume 982)

Keywords

  • Random Number
  • Independent Random Variable
  • Limit Distribution
  • Technical System
  • Life Period

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References

  1. Gnedenko B.V., Fahim X. On one transfer theorem.-Doklady AN SSSR, 1969, v.187, No 1, p.15–17 (in Russian).

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  2. Berman S.M. Limiting distribution of the maximum term of sequences of independent random variables.-Ann.Math.Statist., 1962, v.33, No.3, p.894–908.

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  3. Barmdorf-Nielsen D. On the limit distribution of the maximum of a random number of independent random variables.-Acta Math.Acad. Sci.Hungar., 1964, v.15, No.3–4, p.399–403.

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  4. Gnedenko B.V., Gnedenko D.B. On Laplace and logistical distributions as limit ones in the probability theory.-Serdika (to appear).

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  5. Kruglov V.M. On the convergence of distributions of sums of random number of independent random variables to the normal law.-Vestnik MGU, ser.matem., mehan., 1976, No 5, p.5–12 (in Russian).

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  6. Rossberg H.I., Siegel G. Continuation of convergence in the central limit theorem.-Teorija verojatn. i ee primen., 1976, v.XX, No 4, p.885–887.

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  7. Gnedenko B.V. Sur la distribution du term maximum d’une série aleatoire.-Ann.Math., 1943, v.44, N 3, p.423–453.

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© 1983 Springer-Verlag

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Gnedenko, B.V. (1983). On some stability theorems. In: Kalashnikov, V.V., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 982. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082058

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  • DOI: https://doi.org/10.1007/BFb0082058

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12278-4

  • Online ISBN: 978-3-540-39598-0

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