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An estimate of the decomposition stability of the Poisson distribution into identical components

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Abstract

An estimate of the decomposition stability of the Poisson distribution is obtained under the condition that the components are identical. The estimate is much sharper than that in the general case.

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References

  1. G. P. Chistyakov, “Stability of decompositions of distribution laws,”Teor. Veroyatn. Primen.,31, 433–450 (1986).

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  2. V. V. Il’in, “On the quantitative stability of H. Cramer’s theorem in a uniform metric in the case of equally distributed random variables,”Sov. Mat. Dokl.,260, 525–526 (1981).

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  3. N. G. Ushakov and A. P. Ushakova, “Estimations of the decomposition stability into identical components,”Statist. Probab. Lett. (to appear).

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Authors and Affiliations

  1. Institute of Microelectronics Technology, Russian Academy of Sciences, 142432, Chernogolovka, Russia

    N. G. Ushakov

  2. Moscow State University, Vorob’yovy Gory, 119899, Moscow, Russia

    V. N. Ushakov

Authors
  1. N. G. Ushakov
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  2. V. N. Ushakov
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Additional information

Supported in part by the International Science Foundation (grant No. NJY000).

Proceedings of the XVII Seminar on Stability Problems for Stochastic Models. Kazan, Russia, 1995, Part II.

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Ushakov, N.G., Ushakov, V.N. An estimate of the decomposition stability of the Poisson distribution into identical components. J Math Sci 83, 447–452 (1997). https://doi.org/10.1007/BF02400931

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  • DOI: https://doi.org/10.1007/BF02400931

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