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A refinement of Lukacs theorems

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1412)

Keywords

  • Distribution Function
  • Gaussian Distribution
  • Probability Distribution
  • Stochastic Process
  • General Solution

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References

  1. Lukacs E. A characterization of the normal distribution. Ann.Math.Stat., 1942, 32, N 1, 91–93.

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  2. Lukacs E. Characterization problems for discrete distributions.-In: Proc.Internat. Symp. on Classical and Contagions Distributions, Montreal, 1963, 65–74.

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  3. Lukacs E. Some extensions of a theorem of Marcinkiewicz. Pac.J.Math., 1959, 8, N 3, 487–501.

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  4. Marzinliewicz J. Sur une propriété de la loi de Gauss. Math.Z., 1938, B.44, 612–618.

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  5. Kagan A.M. A class of two-dimensional distributions arising in the connection with the Darmois-Skitocitch and Cramér theorems (in Russian). Teor. Veroyatn. Primen., 1987, 32, N 2, 349–351.

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  6. Lukacs E. Characteristic functions (2nd ed.) Griffin, London, 1970.

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  7. Ostrowskii I.V. On entire functions satisfying certain special ineqialities connected with the theory of characteristic functions of probability distributions (in Russian). Uch.Zap. Mat.-Mech. Facult. i Kharkov. Mat. Obshchestva, 1963, 29, 145–168.

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  8. Zimoglyad V.V. On a class of functions with the "ridge" property. (in Russian). Tr.Phys.-Tech. Inst. Nizkich Temperatur Akad. Nauk Ukr. SSR, 1969, 1, 172–190.

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© 1989 Springer-Verlag

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Kagan, F.M. (1989). A refinement of Lukacs theorems. In: Kalashnikov, V.V., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1412. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084166

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  • DOI: https://doi.org/10.1007/BFb0084166

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51948-5

  • Online ISBN: 978-3-540-46863-9

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